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Finding the Fourth Proportional to 1,452.71, 2,179.94 and 631.01

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Solution

The fourth proportional to 1,452.71, 2,179.94 and 631.01 is: 946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.71 : 2,179.94 = 631.01 : x
  2. Step 2: Convert to fraction form
    1,452.71/2,179.94 = 631.01/x
  3. Step 3: Cross multiply
    1,452.71x = 2,179.94 × 631.01
  4. Step 4: Simplify right side
    1,452.71x = 1,375,549.88
  5. Step 5: Solve for x
    x = 1,375,549.88/1,452.71
  6. Step 6: Final answer
    x = 946.89

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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.