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Finding the Fourth Proportional to 1,007.94, 1,391.01 and 588.23

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Solution

The fourth proportional to 1,007.94, 1,391.01 and 588.23 is: 811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.94 : 1,391.01 = 588.23 : x
  2. Step 2: Convert to fraction form
    1,007.94/1,391.01 = 588.23/x
  3. Step 3: Cross multiply
    1,007.94x = 1,391.01 × 588.23
  4. Step 4: Simplify right side
    1,007.94x = 818,229.87
  5. Step 5: Solve for x
    x = 818,229.87/1,007.94
  6. Step 6: Final answer
    x = 811.78

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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.