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Finding the Fourth Proportional to 1,164.75, 1,746.37 and 617.19

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Solution

The fourth proportional to 1,164.75, 1,746.37 and 617.19 is: 925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.75 : 1,746.37 = 617.19 : x
  2. Step 2: Convert to fraction form
    1,164.75/1,746.37 = 617.19/x
  3. Step 3: Cross multiply
    1,164.75x = 1,746.37 × 617.19
  4. Step 4: Simplify right side
    1,164.75x = 1,077,839.01
  5. Step 5: Solve for x
    x = 1,077,839.01/1,164.75
  6. Step 6: Final answer
    x = 925.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.