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Finding the Fourth Proportional to 678.36, 938.60 and 591.24

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Solution

The fourth proportional to 678.36, 938.60 and 591.24 is: 818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.36 : 938.60 = 591.24 : x
  2. Step 2: Convert to fraction form
    678.36/938.60 = 591.24/x
  3. Step 3: Cross multiply
    678.36x = 938.60 × 591.24
  4. Step 4: Simplify right side
    678.36x = 554,937.86
  5. Step 5: Solve for x
    x = 554,937.86/678.36
  6. Step 6: Final answer
    x = 818.06

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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.