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Finding the Fourth Proportional to 765.98, 1,148.46 and 534.12

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Solution

The fourth proportional to 765.98, 1,148.46 and 534.12 is: 800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.98 : 1,148.46 = 534.12 : x
  2. Step 2: Convert to fraction form
    765.98/1,148.46 = 534.12/x
  3. Step 3: Cross multiply
    765.98x = 1,148.46 × 534.12
  4. Step 4: Simplify right side
    765.98x = 613,415.46
  5. Step 5: Solve for x
    x = 613,415.46/765.98
  6. Step 6: Final answer
    x = 800.82

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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.