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Finding the Fourth Proportional to 981.56, 1,354.52 and 588.51

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Solution

The fourth proportional to 981.56, 1,354.52 and 588.51 is: 812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.56 : 1,354.52 = 588.51 : x
  2. Step 2: Convert to fraction form
    981.56/1,354.52 = 588.51/x
  3. Step 3: Cross multiply
    981.56x = 1,354.52 × 588.51
  4. Step 4: Simplify right side
    981.56x = 797,148.57
  5. Step 5: Solve for x
    x = 797,148.57/981.56
  6. Step 6: Final answer
    x = 812.12

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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.