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Finding the Fourth Proportional to 1,023.05, 1,411.92 and 630.07

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Solution

The fourth proportional to 1,023.05, 1,411.92 and 630.07 is: 869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.05 : 1,411.92 = 630.07 : x
  2. Step 2: Convert to fraction form
    1,023.05/1,411.92 = 630.07/x
  3. Step 3: Cross multiply
    1,023.05x = 1,411.92 × 630.07
  4. Step 4: Simplify right side
    1,023.05x = 889,604.90
  5. Step 5: Solve for x
    x = 889,604.90/1,023.05
  6. Step 6: Final answer
    x = 869.56

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