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Finding the Fourth Proportional to 1,048.86, 1,447.20 and 700.56

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Solution

The fourth proportional to 1,048.86, 1,447.20 and 700.56 is: 966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.86 : 1,447.20 = 700.56 : x
  2. Step 2: Convert to fraction form
    1,048.86/1,447.20 = 700.56/x
  3. Step 3: Cross multiply
    1,048.86x = 1,447.20 × 700.56
  4. Step 4: Simplify right side
    1,048.86x = 1,013,850.43
  5. Step 5: Solve for x
    x = 1,013,850.43/1,048.86
  6. Step 6: Final answer
    x = 966.62

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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.