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Finding the Fourth Proportional to 1,292.64, 1,784.01 and 1,082.46

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Solution

The fourth proportional to 1,292.64, 1,784.01 and 1,082.46 is: 1,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.64 : 1,784.01 = 1,082.46 : x
  2. Step 2: Convert to fraction form
    1,292.64/1,784.01 = 1,082.46/x
  3. Step 3: Cross multiply
    1,292.64x = 1,784.01 × 1,082.46
  4. Step 4: Simplify right side
    1,292.64x = 1,931,119.46
  5. Step 5: Solve for x
    x = 1,931,119.46/1,292.64
  6. Step 6: Final answer
    x = 1,493.93

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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.