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Finding the Fourth Proportional to 885.52, 1,217.96 and 710.48

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Solution

The fourth proportional to 885.52, 1,217.96 and 710.48 is: 977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.52 : 1,217.96 = 710.48 : x
  2. Step 2: Convert to fraction form
    885.52/1,217.96 = 710.48/x
  3. Step 3: Cross multiply
    885.52x = 1,217.96 × 710.48
  4. Step 4: Simplify right side
    885.52x = 865,336.22
  5. Step 5: Solve for x
    x = 865,336.22/885.52
  6. Step 6: Final answer
    x = 977.21

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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.