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Finding the Fourth Proportional to 928.98, 1,282.16 and 634.14

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Solution

The fourth proportional to 928.98, 1,282.16 and 634.14 is: 875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.98 : 1,282.16 = 634.14 : x
  2. Step 2: Convert to fraction form
    928.98/1,282.16 = 634.14/x
  3. Step 3: Cross multiply
    928.98x = 1,282.16 × 634.14
  4. Step 4: Simplify right side
    928.98x = 813,070.53
  5. Step 5: Solve for x
    x = 813,070.53/928.98
  6. Step 6: Final answer
    x = 875.23

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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.