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Finding the Fourth Proportional to 1,387.83, 2,082.05 and 522.14

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Solution

The fourth proportional to 1,387.83, 2,082.05 and 522.14 is: 783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.83 : 2,082.05 = 522.14 : x
  2. Step 2: Convert to fraction form
    1,387.83/2,082.05 = 522.14/x
  3. Step 3: Cross multiply
    1,387.83x = 2,082.05 × 522.14
  4. Step 4: Simplify right side
    1,387.83x = 1,087,124.18
  5. Step 5: Solve for x
    x = 1,087,124.18/1,387.83
  6. Step 6: Final answer
    x = 783.33

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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.