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Finding the Fourth Proportional to 1,057.88, 1,460.19 and 684.85

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Solution

The fourth proportional to 1,057.88, 1,460.19 and 684.85 is: 945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.88 : 1,460.19 = 684.85 : x
  2. Step 2: Convert to fraction form
    1,057.88/1,460.19 = 684.85/x
  3. Step 3: Cross multiply
    1,057.88x = 1,460.19 × 684.85
  4. Step 4: Simplify right side
    1,057.88x = 1,000,011.12
  5. Step 5: Solve for x
    x = 1,000,011.12/1,057.88
  6. Step 6: Final answer
    x = 945.30

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.