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Finding the Fourth Proportional to 874.38, 1,310.73 and 463.77

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Solution

The fourth proportional to 874.38, 1,310.73 and 463.77 is: 695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.38 : 1,310.73 = 463.77 : x
  2. Step 2: Convert to fraction form
    874.38/1,310.73 = 463.77/x
  3. Step 3: Cross multiply
    874.38x = 1,310.73 × 463.77
  4. Step 4: Simplify right side
    874.38x = 607,877.25
  5. Step 5: Solve for x
    x = 607,877.25/874.38
  6. Step 6: Final answer
    x = 695.21

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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.