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Finding the Fourth Proportional to 978.95, 1,469.32 and 517.05

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Solution

The fourth proportional to 978.95, 1,469.32 and 517.05 is: 776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.95 : 1,469.32 = 517.05 : x
  2. Step 2: Convert to fraction form
    978.95/1,469.32 = 517.05/x
  3. Step 3: Cross multiply
    978.95x = 1,469.32 × 517.05
  4. Step 4: Simplify right side
    978.95x = 759,710.61
  5. Step 5: Solve for x
    x = 759,710.61/978.95
  6. Step 6: Final answer
    x = 776.04

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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.