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Finding the Fourth Proportional to 917.74, 1,377.11 and 397.74

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Solution

The fourth proportional to 917.74, 1,377.11 and 397.74 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.74 : 1,377.11 = 397.74 : x
  2. Step 2: Convert to fraction form
    917.74/1,377.11 = 397.74/x
  3. Step 3: Cross multiply
    917.74x = 1,377.11 × 397.74
  4. Step 4: Simplify right side
    917.74x = 547,732.34
  5. Step 5: Solve for x
    x = 547,732.34/917.74
  6. Step 6: Final answer
    x = 596.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.