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Finding the Fourth Proportional to 773.52, 1,162.08 and 500.16

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Solution

The fourth proportional to 773.52, 1,162.08 and 500.16 is: 751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,162.08 = 500.16 : x
  2. Step 2: Convert to fraction form
    773.52/1,162.08 = 500.16/x
  3. Step 3: Cross multiply
    773.52x = 1,162.08 × 500.16
  4. Step 4: Simplify right side
    773.52x = 581,225.93
  5. Step 5: Solve for x
    x = 581,225.93/773.52
  6. Step 6: Final answer
    x = 751.40

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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.