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Finding the Fourth Proportional to 1,042, 1,563.21 and 464.88

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Solution

The fourth proportional to 1,042, 1,563.21 and 464.88 is: 697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042 : 1,563.21 = 464.88 : x
  2. Step 2: Convert to fraction form
    1,042/1,563.21 = 464.88/x
  3. Step 3: Cross multiply
    1,042x = 1,563.21 × 464.88
  4. Step 4: Simplify right side
    1,042x = 726,697.25
  5. Step 5: Solve for x
    x = 726,697.25/1,042
  6. Step 6: Final answer
    x = 697.41

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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.