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Finding the Fourth Proportional to 1,053.72, 1,454.28 and 588

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Solution

The fourth proportional to 1,053.72, 1,454.28 and 588 is: 811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.72 : 1,454.28 = 588 : x
  2. Step 2: Convert to fraction form
    1,053.72/1,454.28 = 588/x
  3. Step 3: Cross multiply
    1,053.72x = 1,454.28 × 588
  4. Step 4: Simplify right side
    1,053.72x = 855,116.64
  5. Step 5: Solve for x
    x = 855,116.64/1,053.72
  6. Step 6: Final answer
    x = 811.52

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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.