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Finding the Fourth Proportional to 1,042.45, 1,565.94 and 631.78

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Solution

The fourth proportional to 1,042.45, 1,565.94 and 631.78 is: 949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.45 : 1,565.94 = 631.78 : x
  2. Step 2: Convert to fraction form
    1,042.45/1,565.94 = 631.78/x
  3. Step 3: Cross multiply
    1,042.45x = 1,565.94 × 631.78
  4. Step 4: Simplify right side
    1,042.45x = 989,329.57
  5. Step 5: Solve for x
    x = 989,329.57/1,042.45
  6. Step 6: Final answer
    x = 949.04

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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.