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Finding the Fourth Proportional to 874.61, 1,312.34 and 387.71

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Solution

The fourth proportional to 874.61, 1,312.34 and 387.71 is: 581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.61 : 1,312.34 = 387.71 : x
  2. Step 2: Convert to fraction form
    874.61/1,312.34 = 387.71/x
  3. Step 3: Cross multiply
    874.61x = 1,312.34 × 387.71
  4. Step 4: Simplify right side
    874.61x = 508,807.34
  5. Step 5: Solve for x
    x = 508,807.34/874.61
  6. Step 6: Final answer
    x = 581.75

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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.