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Finding the Fourth Proportional to 728.50, 1,004.48 and 553.54

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Solution

The fourth proportional to 728.50, 1,004.48 and 553.54 is: 763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.50 : 1,004.48 = 553.54 : x
  2. Step 2: Convert to fraction form
    728.50/1,004.48 = 553.54/x
  3. Step 3: Cross multiply
    728.50x = 1,004.48 × 553.54
  4. Step 4: Simplify right side
    728.50x = 556,019.86
  5. Step 5: Solve for x
    x = 556,019.86/728.50
  6. Step 6: Final answer
    x = 763.24

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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.