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Finding the Fourth Proportional to 765.41, 1,148.27 and 456.89

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Solution

The fourth proportional to 765.41, 1,148.27 and 456.89 is: 685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.41 : 1,148.27 = 456.89 : x
  2. Step 2: Convert to fraction form
    765.41/1,148.27 = 456.89/x
  3. Step 3: Cross multiply
    765.41x = 1,148.27 × 456.89
  4. Step 4: Simplify right side
    765.41x = 524,625.05
  5. Step 5: Solve for x
    x = 524,625.05/765.41
  6. Step 6: Final answer
    x = 685.42

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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.