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Finding the Fourth Proportional to 886.48, 1,327.48 and 702.16

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Solution

The fourth proportional to 886.48, 1,327.48 and 702.16 is: 1,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.48 : 1,327.48 = 702.16 : x
  2. Step 2: Convert to fraction form
    886.48/1,327.48 = 702.16/x
  3. Step 3: Cross multiply
    886.48x = 1,327.48 × 702.16
  4. Step 4: Simplify right side
    886.48x = 932,103.36
  5. Step 5: Solve for x
    x = 932,103.36/886.48
  6. Step 6: Final answer
    x = 1,051.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.