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Finding the Fourth Proportional to 981.42, 1,354.52 and 588.52

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Solution

The fourth proportional to 981.42, 1,354.52 and 588.52 is: 812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.42 : 1,354.52 = 588.52 : x
  2. Step 2: Convert to fraction form
    981.42/1,354.52 = 588.52/x
  3. Step 3: Cross multiply
    981.42x = 1,354.52 × 588.52
  4. Step 4: Simplify right side
    981.42x = 797,162.11
  5. Step 5: Solve for x
    x = 797,162.11/981.42
  6. Step 6: Final answer
    x = 812.25

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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.