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Finding the Fourth Proportional to 880.18, 1,214.51 and 487.13

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Solution

The fourth proportional to 880.18, 1,214.51 and 487.13 is: 672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.18 : 1,214.51 = 487.13 : x
  2. Step 2: Convert to fraction form
    880.18/1,214.51 = 487.13/x
  3. Step 3: Cross multiply
    880.18x = 1,214.51 × 487.13
  4. Step 4: Simplify right side
    880.18x = 591,615.75
  5. Step 5: Solve for x
    x = 591,615.75/880.18
  6. Step 6: Final answer
    x = 672.16

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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.