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Finding the Fourth Proportional to 886.75, 1,223.75 and 508.71

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Solution

The fourth proportional to 886.75, 1,223.75 and 508.71 is: 702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.75 : 1,223.75 = 508.71 : x
  2. Step 2: Convert to fraction form
    886.75/1,223.75 = 508.71/x
  3. Step 3: Cross multiply
    886.75x = 1,223.75 × 508.71
  4. Step 4: Simplify right side
    886.75x = 622,533.86
  5. Step 5: Solve for x
    x = 622,533.86/886.75
  6. Step 6: Final answer
    x = 702.04

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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.