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Finding the Fourth Proportional to 1,153.45, 1,587.22 and 1,104.31

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Solution

The fourth proportional to 1,153.45, 1,587.22 and 1,104.31 is: 1,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.45 : 1,587.22 = 1,104.31 : x
  2. Step 2: Convert to fraction form
    1,153.45/1,587.22 = 1,104.31/x
  3. Step 3: Cross multiply
    1,153.45x = 1,587.22 × 1,104.31
  4. Step 4: Simplify right side
    1,153.45x = 1,752,782.92
  5. Step 5: Solve for x
    x = 1,752,782.92/1,153.45
  6. Step 6: Final answer
    x = 1,519.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.