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Finding the Fourth Proportional to 870.52, 1,200.86 and 538.68

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Solution

The fourth proportional to 870.52, 1,200.86 and 538.68 is: 743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.52 : 1,200.86 = 538.68 : x
  2. Step 2: Convert to fraction form
    870.52/1,200.86 = 538.68/x
  3. Step 3: Cross multiply
    870.52x = 1,200.86 × 538.68
  4. Step 4: Simplify right side
    870.52x = 646,879.26
  5. Step 5: Solve for x
    x = 646,879.26/870.52
  6. Step 6: Final answer
    x = 743.10

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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.