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Finding the Fourth Proportional to 981.75, 1,354.91 and 562.13

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Solution

The fourth proportional to 981.75, 1,354.91 and 562.13 is: 775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.75 : 1,354.91 = 562.13 : x
  2. Step 2: Convert to fraction form
    981.75/1,354.91 = 562.13/x
  3. Step 3: Cross multiply
    981.75x = 1,354.91 × 562.13
  4. Step 4: Simplify right side
    981.75x = 761,636.13
  5. Step 5: Solve for x
    x = 761,636.13/981.75
  6. Step 6: Final answer
    x = 775.80

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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.