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Finding the Fourth Proportional to 981.61, 1,354.05 and 588.40

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Solution

The fourth proportional to 981.61, 1,354.05 and 588.40 is: 811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.61 : 1,354.05 = 588.40 : x
  2. Step 2: Convert to fraction form
    981.61/1,354.05 = 588.40/x
  3. Step 3: Cross multiply
    981.61x = 1,354.05 × 588.40
  4. Step 4: Simplify right side
    981.61x = 796,723.02
  5. Step 5: Solve for x
    x = 796,723.02/981.61
  6. Step 6: Final answer
    x = 811.65

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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.