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Finding the Fourth Proportional to 870, 1,200.49 and 476.92

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Solution

The fourth proportional to 870, 1,200.49 and 476.92 is: 658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    870 : 1,200.49 = 476.92 : x
  2. Step 2: Convert to fraction form
    870/1,200.49 = 476.92/x
  3. Step 3: Cross multiply
    870x = 1,200.49 × 476.92
  4. Step 4: Simplify right side
    870x = 572,537.69
  5. Step 5: Solve for x
    x = 572,537.69/870
  6. Step 6: Final answer
    x = 658.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.