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Finding the Fourth Proportional to 1,520.43, 2,279.04 and 642.75

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Solution

The fourth proportional to 1,520.43, 2,279.04 and 642.75 is: 963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.43 : 2,279.04 = 642.75 : x
  2. Step 2: Convert to fraction form
    1,520.43/2,279.04 = 642.75/x
  3. Step 3: Cross multiply
    1,520.43x = 2,279.04 × 642.75
  4. Step 4: Simplify right side
    1,520.43x = 1,464,852.96
  5. Step 5: Solve for x
    x = 1,464,852.96/1,520.43
  6. Step 6: Final answer
    x = 963.45

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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.