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Finding the Fourth Proportional to 1,043.66, 1,563.73 and 631.55

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Solution

The fourth proportional to 1,043.66, 1,563.73 and 631.55 is: 946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.66 : 1,563.73 = 631.55 : x
  2. Step 2: Convert to fraction form
    1,043.66/1,563.73 = 631.55/x
  3. Step 3: Cross multiply
    1,043.66x = 1,563.73 × 631.55
  4. Step 4: Simplify right side
    1,043.66x = 987,576.01
  5. Step 5: Solve for x
    x = 987,576.01/1,043.66
  6. Step 6: Final answer
    x = 946.26

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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.