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Finding the Fourth Proportional to 728.95, 1,005.77 and 542.50

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Solution

The fourth proportional to 728.95, 1,005.77 and 542.50 is: 748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.95 : 1,005.77 = 542.50 : x
  2. Step 2: Convert to fraction form
    728.95/1,005.77 = 542.50/x
  3. Step 3: Cross multiply
    728.95x = 1,005.77 × 542.50
  4. Step 4: Simplify right side
    728.95x = 545,626.02
  5. Step 5: Solve for x
    x = 545,626.02/728.95
  6. Step 6: Final answer
    x = 748.51

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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.