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Finding the Fourth Proportional to 1,149.03, 1,587.11 and 999.35

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Solution

The fourth proportional to 1,149.03, 1,587.11 and 999.35 is: 1,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.03 : 1,587.11 = 999.35 : x
  2. Step 2: Convert to fraction form
    1,149.03/1,587.11 = 999.35/x
  3. Step 3: Cross multiply
    1,149.03x = 1,587.11 × 999.35
  4. Step 4: Simplify right side
    1,149.03x = 1,586,085.95
  5. Step 5: Solve for x
    x = 1,586,085.95/1,149.03
  6. Step 6: Final answer
    x = 1,380.37

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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.