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Finding the Fourth Proportional to 1,114.92, 1,671.64 and 978.24

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Solution

The fourth proportional to 1,114.92, 1,671.64 and 978.24 is: 1,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.92 : 1,671.64 = 978.24 : x
  2. Step 2: Convert to fraction form
    1,114.92/1,671.64 = 978.24/x
  3. Step 3: Cross multiply
    1,114.92x = 1,671.64 × 978.24
  4. Step 4: Simplify right side
    1,114.92x = 1,635,265.11
  5. Step 5: Solve for x
    x = 1,635,265.11/1,114.92
  6. Step 6: Final answer
    x = 1,466.71

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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.