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Finding the Fourth Proportional to 920.14, 1,269.80 and 527.16

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Solution

The fourth proportional to 920.14, 1,269.80 and 527.16 is: 727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.14 : 1,269.80 = 527.16 : x
  2. Step 2: Convert to fraction form
    920.14/1,269.80 = 527.16/x
  3. Step 3: Cross multiply
    920.14x = 1,269.80 × 527.16
  4. Step 4: Simplify right side
    920.14x = 669,387.77
  5. Step 5: Solve for x
    x = 669,387.77/920.14
  6. Step 6: Final answer
    x = 727.48

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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.