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Finding the Fourth Proportional to 1,149.15, 1,585.36 and 800.04

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Solution

The fourth proportional to 1,149.15, 1,585.36 and 800.04 is: 1,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.15 : 1,585.36 = 800.04 : x
  2. Step 2: Convert to fraction form
    1,149.15/1,585.36 = 800.04/x
  3. Step 3: Cross multiply
    1,149.15x = 1,585.36 × 800.04
  4. Step 4: Simplify right side
    1,149.15x = 1,268,347.41
  5. Step 5: Solve for x
    x = 1,268,347.41/1,149.15
  6. Step 6: Final answer
    x = 1,103.73

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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.