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Finding the Fourth Proportional to 870.04, 1,200.68 and 538.48

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Solution

The fourth proportional to 870.04, 1,200.68 and 538.48 is: 743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.04 : 1,200.68 = 538.48 : x
  2. Step 2: Convert to fraction form
    870.04/1,200.68 = 538.48/x
  3. Step 3: Cross multiply
    870.04x = 1,200.68 × 538.48
  4. Step 4: Simplify right side
    870.04x = 646,542.17
  5. Step 5: Solve for x
    x = 646,542.17/870.04
  6. Step 6: Final answer
    x = 743.12

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