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Finding the Fourth Proportional to 1,059.26, 1,462.84 and 728.52

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Solution

The fourth proportional to 1,059.26, 1,462.84 and 728.52 is: 1,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.26 : 1,462.84 = 728.52 : x
  2. Step 2: Convert to fraction form
    1,059.26/1,462.84 = 728.52/x
  3. Step 3: Cross multiply
    1,059.26x = 1,462.84 × 728.52
  4. Step 4: Simplify right side
    1,059.26x = 1,065,708.20
  5. Step 5: Solve for x
    x = 1,065,708.20/1,059.26
  6. Step 6: Final answer
    x = 1,006.09

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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.