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Finding the Fourth Proportional to 928.35, 1,281.14 and 508.73

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Solution

The fourth proportional to 928.35, 1,281.14 and 508.73 is: 702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.35 : 1,281.14 = 508.73 : x
  2. Step 2: Convert to fraction form
    928.35/1,281.14 = 508.73/x
  3. Step 3: Cross multiply
    928.35x = 1,281.14 × 508.73
  4. Step 4: Simplify right side
    928.35x = 651,745.40
  5. Step 5: Solve for x
    x = 651,745.40/928.35
  6. Step 6: Final answer
    x = 702.05

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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.