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Finding the Fourth Proportional to 981.65, 1,354.73 and 588.80

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Solution

The fourth proportional to 981.65, 1,354.73 and 588.80 is: 812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.65 : 1,354.73 = 588.80 : x
  2. Step 2: Convert to fraction form
    981.65/1,354.73 = 588.80/x
  3. Step 3: Cross multiply
    981.65x = 1,354.73 × 588.80
  4. Step 4: Simplify right side
    981.65x = 797,665.47
  5. Step 5: Solve for x
    x = 797,665.47/981.65
  6. Step 6: Final answer
    x = 812.57

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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.