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Finding the Fourth Proportional to 880.44, 1,214.96 and 531.06

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Solution

The fourth proportional to 880.44, 1,214.96 and 531.06 is: 732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.44 : 1,214.96 = 531.06 : x
  2. Step 2: Convert to fraction form
    880.44/1,214.96 = 531.06/x
  3. Step 3: Cross multiply
    880.44x = 1,214.96 × 531.06
  4. Step 4: Simplify right side
    880.44x = 645,216.66
  5. Step 5: Solve for x
    x = 645,216.66/880.44
  6. Step 6: Final answer
    x = 732.83

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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.