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Finding the Fourth Proportional to 981.74, 1,354.86 and 562.22

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Solution

The fourth proportional to 981.74, 1,354.86 and 562.22 is: 775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.74 : 1,354.86 = 562.22 : x
  2. Step 2: Convert to fraction form
    981.74/1,354.86 = 562.22/x
  3. Step 3: Cross multiply
    981.74x = 1,354.86 × 562.22
  4. Step 4: Simplify right side
    981.74x = 761,729.39
  5. Step 5: Solve for x
    x = 761,729.39/981.74
  6. Step 6: Final answer
    x = 775.90

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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.