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Finding the Fourth Proportional to 981.70, 1,354.77 and 539.61

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Solution

The fourth proportional to 981.70, 1,354.77 and 539.61 is: 744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.70 : 1,354.77 = 539.61 : x
  2. Step 2: Convert to fraction form
    981.70/1,354.77 = 539.61/x
  3. Step 3: Cross multiply
    981.70x = 1,354.77 × 539.61
  4. Step 4: Simplify right side
    981.70x = 731,047.44
  5. Step 5: Solve for x
    x = 731,047.44/981.70
  6. Step 6: Final answer
    x = 744.67

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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.