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Finding the Fourth Proportional to 1,388.49, 2,082.74 and 555.94

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Solution

The fourth proportional to 1,388.49, 2,082.74 and 555.94 is: 833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.49 : 2,082.74 = 555.94 : x
  2. Step 2: Convert to fraction form
    1,388.49/2,082.74 = 555.94/x
  3. Step 3: Cross multiply
    1,388.49x = 2,082.74 × 555.94
  4. Step 4: Simplify right side
    1,388.49x = 1,157,871.27
  5. Step 5: Solve for x
    x = 1,157,871.27/1,388.49
  6. Step 6: Final answer
    x = 833.90

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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.