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Finding the Fourth Proportional to 981.38, 1,353.08 and 718.94

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Solution

The fourth proportional to 981.38, 1,353.08 and 718.94 is: 991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.38 : 1,353.08 = 718.94 : x
  2. Step 2: Convert to fraction form
    981.38/1,353.08 = 718.94/x
  3. Step 3: Cross multiply
    981.38x = 1,353.08 × 718.94
  4. Step 4: Simplify right side
    981.38x = 972,779.74
  5. Step 5: Solve for x
    x = 972,779.74/981.38
  6. Step 6: Final answer
    x = 991.24

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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.