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Finding the Fourth Proportional to 870.33, 1,200.87 and 516.24

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Solution

The fourth proportional to 870.33, 1,200.87 and 516.24 is: 712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.33 : 1,200.87 = 516.24 : x
  2. Step 2: Convert to fraction form
    870.33/1,200.87 = 516.24/x
  3. Step 3: Cross multiply
    870.33x = 1,200.87 × 516.24
  4. Step 4: Simplify right side
    870.33x = 619,937.13
  5. Step 5: Solve for x
    x = 619,937.13/870.33
  6. Step 6: Final answer
    x = 712.30

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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.