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Finding the Fourth Proportional to 765.87, 1,149.11 and 457.89

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Solution

The fourth proportional to 765.87, 1,149.11 and 457.89 is: 687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.87 : 1,149.11 = 457.89 : x
  2. Step 2: Convert to fraction form
    765.87/1,149.11 = 457.89/x
  3. Step 3: Cross multiply
    765.87x = 1,149.11 × 457.89
  4. Step 4: Simplify right side
    765.87x = 526,163.69
  5. Step 5: Solve for x
    x = 526,163.69/765.87
  6. Step 6: Final answer
    x = 687.01

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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.