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Finding the Fourth Proportional to 801.69, 1,200.65 and 508.17

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Solution

The fourth proportional to 801.69, 1,200.65 and 508.17 is: 761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.69 : 1,200.65 = 508.17 : x
  2. Step 2: Convert to fraction form
    801.69/1,200.65 = 508.17/x
  3. Step 3: Cross multiply
    801.69x = 1,200.65 × 508.17
  4. Step 4: Simplify right side
    801.69x = 610,131.77
  5. Step 5: Solve for x
    x = 610,131.77/801.69
  6. Step 6: Final answer
    x = 761.06

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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.