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Finding the Fourth Proportional to 765.83, 1,148.14 and 469.78

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Solution

The fourth proportional to 765.83, 1,148.14 and 469.78 is: 704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.83 : 1,148.14 = 469.78 : x
  2. Step 2: Convert to fraction form
    765.83/1,148.14 = 469.78/x
  3. Step 3: Cross multiply
    765.83x = 1,148.14 × 469.78
  4. Step 4: Simplify right side
    765.83x = 539,373.21
  5. Step 5: Solve for x
    x = 539,373.21/765.83
  6. Step 6: Final answer
    x = 704.30

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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.