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Finding the Fourth Proportional to 732.40, 1,010.56 and 533.56

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Solution

The fourth proportional to 732.40, 1,010.56 and 533.56 is: 736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.40 : 1,010.56 = 533.56 : x
  2. Step 2: Convert to fraction form
    732.40/1,010.56 = 533.56/x
  3. Step 3: Cross multiply
    732.40x = 1,010.56 × 533.56
  4. Step 4: Simplify right side
    732.40x = 539,194.39
  5. Step 5: Solve for x
    x = 539,194.39/732.40
  6. Step 6: Final answer
    x = 736.20

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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.