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Finding the Fourth Proportional to 880, 1,214.36 and 487

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Solution

The fourth proportional to 880, 1,214.36 and 487 is: 672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    880 : 1,214.36 = 487 : x
  2. Step 2: Convert to fraction form
    880/1,214.36 = 487/x
  3. Step 3: Cross multiply
    880x = 1,214.36 × 487
  4. Step 4: Simplify right side
    880x = 591,393.32
  5. Step 5: Solve for x
    x = 591,393.32/880
  6. Step 6: Final answer
    x = 672.04

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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.