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Finding the Fourth Proportional to 1,388.64, 2,082.42 and 657.84

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Solution

The fourth proportional to 1,388.64, 2,082.42 and 657.84 is: 986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.64 : 2,082.42 = 657.84 : x
  2. Step 2: Convert to fraction form
    1,388.64/2,082.42 = 657.84/x
  3. Step 3: Cross multiply
    1,388.64x = 2,082.42 × 657.84
  4. Step 4: Simplify right side
    1,388.64x = 1,369,899.17
  5. Step 5: Solve for x
    x = 1,369,899.17/1,388.64
  6. Step 6: Final answer
    x = 986.50

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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.