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Finding the Fourth Proportional to 732.76, 1,011.07 and 496.90

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Solution

The fourth proportional to 732.76, 1,011.07 and 496.90 is: 685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.76 : 1,011.07 = 496.90 : x
  2. Step 2: Convert to fraction form
    732.76/1,011.07 = 496.90/x
  3. Step 3: Cross multiply
    732.76x = 1,011.07 × 496.90
  4. Step 4: Simplify right side
    732.76x = 502,396.91
  5. Step 5: Solve for x
    x = 502,396.91/732.76
  6. Step 6: Final answer
    x = 685.63

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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.