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Finding the Fourth Proportional to 981.66, 1,355.14 and 609.15

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Solution

The fourth proportional to 981.66, 1,355.14 and 609.15 is: 840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.66 : 1,355.14 = 609.15 : x
  2. Step 2: Convert to fraction form
    981.66/1,355.14 = 609.15/x
  3. Step 3: Cross multiply
    981.66x = 1,355.14 × 609.15
  4. Step 4: Simplify right side
    981.66x = 825,483.53
  5. Step 5: Solve for x
    x = 825,483.53/981.66
  6. Step 6: Final answer
    x = 840.91

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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.