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Finding the Fourth Proportional to 1,053.04, 1,452.86 and 610.92

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Solution

The fourth proportional to 1,053.04, 1,452.86 and 610.92 is: 842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.04 : 1,452.86 = 610.92 : x
  2. Step 2: Convert to fraction form
    1,053.04/1,452.86 = 610.92/x
  3. Step 3: Cross multiply
    1,053.04x = 1,452.86 × 610.92
  4. Step 4: Simplify right side
    1,053.04x = 887,581.23
  5. Step 5: Solve for x
    x = 887,581.23/1,053.04
  6. Step 6: Final answer
    x = 842.88

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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.