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Finding the Fourth Proportional to 880.71, 1,215.63 and 531.42

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Solution

The fourth proportional to 880.71, 1,215.63 and 531.42 is: 733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.71 : 1,215.63 = 531.42 : x
  2. Step 2: Convert to fraction form
    880.71/1,215.63 = 531.42/x
  3. Step 3: Cross multiply
    880.71x = 1,215.63 × 531.42
  4. Step 4: Simplify right side
    880.71x = 646,010.09
  5. Step 5: Solve for x
    x = 646,010.09/880.71
  6. Step 6: Final answer
    x = 733.51

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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.