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Finding the Fourth Proportional to 744.61, 1,117.05 and 311.71

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Solution

The fourth proportional to 744.61, 1,117.05 and 311.71 is: 467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.61 : 1,117.05 = 311.71 : x
  2. Step 2: Convert to fraction form
    744.61/1,117.05 = 311.71/x
  3. Step 3: Cross multiply
    744.61x = 1,117.05 × 311.71
  4. Step 4: Simplify right side
    744.61x = 348,195.66
  5. Step 5: Solve for x
    x = 348,195.66/744.61
  6. Step 6: Final answer
    x = 467.62

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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.