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Finding the Fourth Proportional to 1,138.82, 1,707.21 and 553.46

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Solution

The fourth proportional to 1,138.82, 1,707.21 and 553.46 is: 829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.82 : 1,707.21 = 553.46 : x
  2. Step 2: Convert to fraction form
    1,138.82/1,707.21 = 553.46/x
  3. Step 3: Cross multiply
    1,138.82x = 1,707.21 × 553.46
  4. Step 4: Simplify right side
    1,138.82x = 944,872.45
  5. Step 5: Solve for x
    x = 944,872.45/1,138.82
  6. Step 6: Final answer
    x = 829.69

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