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Finding the Fourth Proportional to 1,028.72, 1,419.78 and 630.30

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Solution

The fourth proportional to 1,028.72, 1,419.78 and 630.30 is: 869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.72 : 1,419.78 = 630.30 : x
  2. Step 2: Convert to fraction form
    1,028.72/1,419.78 = 630.30/x
  3. Step 3: Cross multiply
    1,028.72x = 1,419.78 × 630.30
  4. Step 4: Simplify right side
    1,028.72x = 894,887.33
  5. Step 5: Solve for x
    x = 894,887.33/1,028.72
  6. Step 6: Final answer
    x = 869.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.