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Finding the Fourth Proportional to 1,384.38, 2,074.75 and 562.20

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Solution

The fourth proportional to 1,384.38, 2,074.75 and 562.20 is: 842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.38 : 2,074.75 = 562.20 : x
  2. Step 2: Convert to fraction form
    1,384.38/2,074.75 = 562.20/x
  3. Step 3: Cross multiply
    1,384.38x = 2,074.75 × 562.20
  4. Step 4: Simplify right side
    1,384.38x = 1,166,428.67
  5. Step 5: Solve for x
    x = 1,166,428.67/1,384.38
  6. Step 6: Final answer
    x = 842.56

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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.