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Finding the Fourth Proportional to 1,053.97, 1,454.48 and 588.22

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Solution

The fourth proportional to 1,053.97, 1,454.48 and 588.22 is: 811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.97 : 1,454.48 = 588.22 : x
  2. Step 2: Convert to fraction form
    1,053.97/1,454.48 = 588.22/x
  3. Step 3: Cross multiply
    1,053.97x = 1,454.48 × 588.22
  4. Step 4: Simplify right side
    1,053.97x = 855,553.88
  5. Step 5: Solve for x
    x = 855,553.88/1,053.97
  6. Step 6: Final answer
    x = 811.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.