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Finding the Fourth Proportional to 1,076.46, 1,614.69 and 643.53

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Solution

The fourth proportional to 1,076.46, 1,614.69 and 643.53 is: 965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.46 : 1,614.69 = 643.53 : x
  2. Step 2: Convert to fraction form
    1,076.46/1,614.69 = 643.53/x
  3. Step 3: Cross multiply
    1,076.46x = 1,614.69 × 643.53
  4. Step 4: Simplify right side
    1,076.46x = 1,039,101.46
  5. Step 5: Solve for x
    x = 1,039,101.46/1,076.46
  6. Step 6: Final answer
    x = 965.30

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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.