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Finding the Fourth Proportional to 1,057.04, 1,458.81 and 585.04

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Solution

The fourth proportional to 1,057.04, 1,458.81 and 585.04 is: 807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.04 : 1,458.81 = 585.04 : x
  2. Step 2: Convert to fraction form
    1,057.04/1,458.81 = 585.04/x
  3. Step 3: Cross multiply
    1,057.04x = 1,458.81 × 585.04
  4. Step 4: Simplify right side
    1,057.04x = 853,462.20
  5. Step 5: Solve for x
    x = 853,462.20/1,057.04
  6. Step 6: Final answer
    x = 807.41

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.