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Finding the Fourth Proportional to 928.46, 1,281.26 and 508.80

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Solution

The fourth proportional to 928.46, 1,281.26 and 508.80 is: 702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.46 : 1,281.26 = 508.80 : x
  2. Step 2: Convert to fraction form
    928.46/1,281.26 = 508.80/x
  3. Step 3: Cross multiply
    928.46x = 1,281.26 × 508.80
  4. Step 4: Simplify right side
    928.46x = 651,905.09
  5. Step 5: Solve for x
    x = 651,905.09/928.46
  6. Step 6: Final answer
    x = 702.14

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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.