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Finding the Fourth Proportional to 928.69, 1,281.22 and 614.13

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Solution

The fourth proportional to 928.69, 1,281.22 and 614.13 is: 847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.69 : 1,281.22 = 614.13 : x
  2. Step 2: Convert to fraction form
    928.69/1,281.22 = 614.13/x
  3. Step 3: Cross multiply
    928.69x = 1,281.22 × 614.13
  4. Step 4: Simplify right side
    928.69x = 786,835.64
  5. Step 5: Solve for x
    x = 786,835.64/928.69
  6. Step 6: Final answer
    x = 847.25

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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.