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Finding the Fourth Proportional to 1,042.32, 1,563.54 and 301.88

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Solution

The fourth proportional to 1,042.32, 1,563.54 and 301.88 is: 452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.32 : 1,563.54 = 301.88 : x
  2. Step 2: Convert to fraction form
    1,042.32/1,563.54 = 301.88/x
  3. Step 3: Cross multiply
    1,042.32x = 1,563.54 × 301.88
  4. Step 4: Simplify right side
    1,042.32x = 472,001.46
  5. Step 5: Solve for x
    x = 472,001.46/1,042.32
  6. Step 6: Final answer
    x = 452.84

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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.