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Finding the Fourth Proportional to 1,049.80, 1,567.04 and 902.65

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Solution

The fourth proportional to 1,049.80, 1,567.04 and 902.65 is: 1,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.80 : 1,567.04 = 902.65 : x
  2. Step 2: Convert to fraction form
    1,049.80/1,567.04 = 902.65/x
  3. Step 3: Cross multiply
    1,049.80x = 1,567.04 × 902.65
  4. Step 4: Simplify right side
    1,049.80x = 1,414,484.14
  5. Step 5: Solve for x
    x = 1,414,484.14/1,049.80
  6. Step 6: Final answer
    x = 1,347.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.