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Finding the Fourth Proportional to 1,388.80, 2,082.66 and 522.64

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Solution

The fourth proportional to 1,388.80, 2,082.66 and 522.64 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.80 : 2,082.66 = 522.64 : x
  2. Step 2: Convert to fraction form
    1,388.80/2,082.66 = 522.64/x
  3. Step 3: Cross multiply
    1,388.80x = 2,082.66 × 522.64
  4. Step 4: Simplify right side
    1,388.80x = 1,088,481.42
  5. Step 5: Solve for x
    x = 1,088,481.42/1,388.80
  6. Step 6: Final answer
    x = 783.76

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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.