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Finding the Fourth Proportional to 1,382.03, 2,073.06 and 559.78

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Solution

The fourth proportional to 1,382.03, 2,073.06 and 559.78 is: 839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.03 : 2,073.06 = 559.78 : x
  2. Step 2: Convert to fraction form
    1,382.03/2,073.06 = 559.78/x
  3. Step 3: Cross multiply
    1,382.03x = 2,073.06 × 559.78
  4. Step 4: Simplify right side
    1,382.03x = 1,160,452.34
  5. Step 5: Solve for x
    x = 1,160,452.34/1,382.03
  6. Step 6: Final answer
    x = 839.67

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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.