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Finding the Fourth Proportional to 1,082.55, 1,493.13 and 708.93

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Solution

The fourth proportional to 1,082.55, 1,493.13 and 708.93 is: 977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.55 : 1,493.13 = 708.93 : x
  2. Step 2: Convert to fraction form
    1,082.55/1,493.13 = 708.93/x
  3. Step 3: Cross multiply
    1,082.55x = 1,493.13 × 708.93
  4. Step 4: Simplify right side
    1,082.55x = 1,058,524.65
  5. Step 5: Solve for x
    x = 1,058,524.65/1,082.55
  6. Step 6: Final answer
    x = 977.81

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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.