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Finding the Fourth Proportional to 1,024.85, 1,539.03 and 978.68

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Solution

The fourth proportional to 1,024.85, 1,539.03 and 978.68 is: 1,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.85 : 1,539.03 = 978.68 : x
  2. Step 2: Convert to fraction form
    1,024.85/1,539.03 = 978.68/x
  3. Step 3: Cross multiply
    1,024.85x = 1,539.03 × 978.68
  4. Step 4: Simplify right side
    1,024.85x = 1,506,217.88
  5. Step 5: Solve for x
    x = 1,506,217.88/1,024.85
  6. Step 6: Final answer
    x = 1,469.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.