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Finding the Fourth Proportional to 754.04, 1,129.98 and 497

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Solution

The fourth proportional to 754.04, 1,129.98 and 497 is: 744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.04 : 1,129.98 = 497 : x
  2. Step 2: Convert to fraction form
    754.04/1,129.98 = 497/x
  3. Step 3: Cross multiply
    754.04x = 1,129.98 × 497
  4. Step 4: Simplify right side
    754.04x = 561,600.06
  5. Step 5: Solve for x
    x = 561,600.06/754.04
  6. Step 6: Final answer
    x = 744.79

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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.