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Finding the Fourth Proportional to 981.14, 1,469.84 and 585

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Solution

The fourth proportional to 981.14, 1,469.84 and 585 is: 876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.14 : 1,469.84 = 585 : x
  2. Step 2: Convert to fraction form
    981.14/1,469.84 = 585/x
  3. Step 3: Cross multiply
    981.14x = 1,469.84 × 585
  4. Step 4: Simplify right side
    981.14x = 859,853.48
  5. Step 5: Solve for x
    x = 859,853.48/981.14
  6. Step 6: Final answer
    x = 876.39

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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.