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Finding the Fourth Proportional to 981.34, 1,354.37 and 561.79

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Solution

The fourth proportional to 981.34, 1,354.37 and 561.79 is: 775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.34 : 1,354.37 = 561.79 : x
  2. Step 2: Convert to fraction form
    981.34/1,354.37 = 561.79/x
  3. Step 3: Cross multiply
    981.34x = 1,354.37 × 561.79
  4. Step 4: Simplify right side
    981.34x = 760,865.95
  5. Step 5: Solve for x
    x = 760,865.95/981.34
  6. Step 6: Final answer
    x = 775.33

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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.