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Finding the Fourth Proportional to 981.75, 1,354.81 and 588.77

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Solution

The fourth proportional to 981.75, 1,354.81 and 588.77 is: 812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.75 : 1,354.81 = 588.77 : x
  2. Step 2: Convert to fraction form
    981.75/1,354.81 = 588.77/x
  3. Step 3: Cross multiply
    981.75x = 1,354.81 × 588.77
  4. Step 4: Simplify right side
    981.75x = 797,671.48
  5. Step 5: Solve for x
    x = 797,671.48/981.75
  6. Step 6: Final answer
    x = 812.50

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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.