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Finding the Fourth Proportional to 981.31, 1,354.12 and 561.59

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Solution

The fourth proportional to 981.31, 1,354.12 and 561.59 is: 774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.31 : 1,354.12 = 561.59 : x
  2. Step 2: Convert to fraction form
    981.31/1,354.12 = 561.59/x
  3. Step 3: Cross multiply
    981.31x = 1,354.12 × 561.59
  4. Step 4: Simplify right side
    981.31x = 760,460.25
  5. Step 5: Solve for x
    x = 760,460.25/981.31
  6. Step 6: Final answer
    x = 774.94

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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.