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Finding the Fourth Proportional to 981.46, 1,354.24 and 588.38

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Solution

The fourth proportional to 981.46, 1,354.24 and 588.38 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.46 : 1,354.24 = 588.38 : x
  2. Step 2: Convert to fraction form
    981.46/1,354.24 = 588.38/x
  3. Step 3: Cross multiply
    981.46x = 1,354.24 × 588.38
  4. Step 4: Simplify right side
    981.46x = 796,807.73
  5. Step 5: Solve for x
    x = 796,807.73/981.46
  6. Step 6: Final answer
    x = 811.86

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1.5x scale

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.