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Finding the Fourth Proportional to 1,104.03, 1,655.23 and 951.75

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Solution

The fourth proportional to 1,104.03, 1,655.23 and 951.75 is: 1,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.03 : 1,655.23 = 951.75 : x
  2. Step 2: Convert to fraction form
    1,104.03/1,655.23 = 951.75/x
  3. Step 3: Cross multiply
    1,104.03x = 1,655.23 × 951.75
  4. Step 4: Simplify right side
    1,104.03x = 1,575,365.15
  5. Step 5: Solve for x
    x = 1,575,365.15/1,104.03
  6. Step 6: Final answer
    x = 1,426.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.