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Finding the Fourth Proportional to 928.34, 1,280.48 and 634

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Solution

The fourth proportional to 928.34, 1,280.48 and 634 is: 874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.34 : 1,280.48 = 634 : x
  2. Step 2: Convert to fraction form
    928.34/1,280.48 = 634/x
  3. Step 3: Cross multiply
    928.34x = 1,280.48 × 634
  4. Step 4: Simplify right side
    928.34x = 811,824.32
  5. Step 5: Solve for x
    x = 811,824.32/928.34
  6. Step 6: Final answer
    x = 874.49

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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.