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Finding the Fourth Proportional to 1,020.85, 1,524.32 and 963.09

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Solution

The fourth proportional to 1,020.85, 1,524.32 and 963.09 is: 1,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.85 : 1,524.32 = 963.09 : x
  2. Step 2: Convert to fraction form
    1,020.85/1,524.32 = 963.09/x
  3. Step 3: Cross multiply
    1,020.85x = 1,524.32 × 963.09
  4. Step 4: Simplify right side
    1,020.85x = 1,468,061.16
  5. Step 5: Solve for x
    x = 1,468,061.16/1,020.85
  6. Step 6: Final answer
    x = 1,438.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.