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Finding the Fourth Proportional to 1,429.97, 2,144.78 and 649.15

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Solution

The fourth proportional to 1,429.97, 2,144.78 and 649.15 is: 973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.97 : 2,144.78 = 649.15 : x
  2. Step 2: Convert to fraction form
    1,429.97/2,144.78 = 649.15/x
  3. Step 3: Cross multiply
    1,429.97x = 2,144.78 × 649.15
  4. Step 4: Simplify right side
    1,429.97x = 1,392,281.42
  5. Step 5: Solve for x
    x = 1,392,281.42/1,429.97
  6. Step 6: Final answer
    x = 973.64

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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.