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Finding the Fourth Proportional to 1,137.20, 1,705.92 and 553.18

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Solution

The fourth proportional to 1,137.20, 1,705.92 and 553.18 is: 829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.20 : 1,705.92 = 553.18 : x
  2. Step 2: Convert to fraction form
    1,137.20/1,705.92 = 553.18/x
  3. Step 3: Cross multiply
    1,137.20x = 1,705.92 × 553.18
  4. Step 4: Simplify right side
    1,137.20x = 943,680.83
  5. Step 5: Solve for x
    x = 943,680.83/1,137.20
  6. Step 6: Final answer
    x = 829.83

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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.