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Finding the Fourth Proportional to 746.08, 1,029.31 and 524.95

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Solution

The fourth proportional to 746.08, 1,029.31 and 524.95 is: 724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.08 : 1,029.31 = 524.95 : x
  2. Step 2: Convert to fraction form
    746.08/1,029.31 = 524.95/x
  3. Step 3: Cross multiply
    746.08x = 1,029.31 × 524.95
  4. Step 4: Simplify right side
    746.08x = 540,332.40
  5. Step 5: Solve for x
    x = 540,332.40/746.08
  6. Step 6: Final answer
    x = 724.23

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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.