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Finding the Fourth Proportional to 978.41, 1,350.24 and 558.90

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Solution

The fourth proportional to 978.41, 1,350.24 and 558.90 is: 771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.41 : 1,350.24 = 558.90 : x
  2. Step 2: Convert to fraction form
    978.41/1,350.24 = 558.90/x
  3. Step 3: Cross multiply
    978.41x = 1,350.24 × 558.90
  4. Step 4: Simplify right side
    978.41x = 754,647.04
  5. Step 5: Solve for x
    x = 754,647.04/978.41
  6. Step 6: Final answer
    x = 771.30

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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.