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Finding the Fourth Proportional to 746.29, 1,029.54 and 524.35

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Solution

The fourth proportional to 746.29, 1,029.54 and 524.35 is: 723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.29 : 1,029.54 = 524.35 : x
  2. Step 2: Convert to fraction form
    746.29/1,029.54 = 524.35/x
  3. Step 3: Cross multiply
    746.29x = 1,029.54 × 524.35
  4. Step 4: Simplify right side
    746.29x = 539,839.30
  5. Step 5: Solve for x
    x = 539,839.30/746.29
  6. Step 6: Final answer
    x = 723.36

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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.