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Finding the Fourth Proportional to 880.17, 1,214.24 and 565.33

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Solution

The fourth proportional to 880.17, 1,214.24 and 565.33 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.17 : 1,214.24 = 565.33 : x
  2. Step 2: Convert to fraction form
    880.17/1,214.24 = 565.33/x
  3. Step 3: Cross multiply
    880.17x = 1,214.24 × 565.33
  4. Step 4: Simplify right side
    880.17x = 686,445.89
  5. Step 5: Solve for x
    x = 686,445.89/880.17
  6. Step 6: Final answer
    x = 779.90

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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.