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Finding the Fourth Proportional to 1,200.33, 1,655.19 and 1,089.75

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Solution

The fourth proportional to 1,200.33, 1,655.19 and 1,089.75 is: 1,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.33 : 1,655.19 = 1,089.75 : x
  2. Step 2: Convert to fraction form
    1,200.33/1,655.19 = 1,089.75/x
  3. Step 3: Cross multiply
    1,200.33x = 1,655.19 × 1,089.75
  4. Step 4: Simplify right side
    1,200.33x = 1,803,743.30
  5. Step 5: Solve for x
    x = 1,803,743.30/1,200.33
  6. Step 6: Final answer
    x = 1,502.71

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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.