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Finding the Fourth Proportional to 870.91, 1,202.42 and 539.69

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Solution

The fourth proportional to 870.91, 1,202.42 and 539.69 is: 745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.91 : 1,202.42 = 539.69 : x
  2. Step 2: Convert to fraction form
    870.91/1,202.42 = 539.69/x
  3. Step 3: Cross multiply
    870.91x = 1,202.42 × 539.69
  4. Step 4: Simplify right side
    870.91x = 648,931.04
  5. Step 5: Solve for x
    x = 648,931.04/870.91
  6. Step 6: Final answer
    x = 745.12

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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.