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Finding the Fourth Proportional to 687.59, 948.17 and 478.01

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Solution

The fourth proportional to 687.59, 948.17 and 478.01 is: 659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.59 : 948.17 = 478.01 : x
  2. Step 2: Convert to fraction form
    687.59/948.17 = 478.01/x
  3. Step 3: Cross multiply
    687.59x = 948.17 × 478.01
  4. Step 4: Simplify right side
    687.59x = 453,227.61
  5. Step 5: Solve for x
    x = 453,227.61/687.59
  6. Step 6: Final answer
    x = 659.15

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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.