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Finding the Fourth Proportional to 747.26, 1,029.98 and 537.10

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Solution

The fourth proportional to 747.26, 1,029.98 and 537.10 is: 740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.26 : 1,029.98 = 537.10 : x
  2. Step 2: Convert to fraction form
    747.26/1,029.98 = 537.10/x
  3. Step 3: Cross multiply
    747.26x = 1,029.98 × 537.10
  4. Step 4: Simplify right side
    747.26x = 553,202.26
  5. Step 5: Solve for x
    x = 553,202.26/747.26
  6. Step 6: Final answer
    x = 740.31

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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.