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Finding the Fourth Proportional to 880.52, 1,214.88 and 502.41

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Solution

The fourth proportional to 880.52, 1,214.88 and 502.41 is: 693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.52 : 1,214.88 = 502.41 : x
  2. Step 2: Convert to fraction form
    880.52/1,214.88 = 502.41/x
  3. Step 3: Cross multiply
    880.52x = 1,214.88 × 502.41
  4. Step 4: Simplify right side
    880.52x = 610,367.86
  5. Step 5: Solve for x
    x = 610,367.86/880.52
  6. Step 6: Final answer
    x = 693.19

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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.