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Finding the Fourth Proportional to 1,042, 1,563 and 464.86

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Solution

The fourth proportional to 1,042, 1,563 and 464.86 is: 697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042 : 1,563 = 464.86 : x
  2. Step 2: Convert to fraction form
    1,042/1,563 = 464.86/x
  3. Step 3: Cross multiply
    1,042x = 1,563 × 464.86
  4. Step 4: Simplify right side
    1,042x = 726,576.18
  5. Step 5: Solve for x
    x = 726,576.18/1,042
  6. Step 6: Final answer
    x = 697.29

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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.