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Finding the Fourth Proportional to 1,048.64, 1,447.72 and 699.92

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Solution

The fourth proportional to 1,048.64, 1,447.72 and 699.92 is: 966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.64 : 1,447.72 = 699.92 : x
  2. Step 2: Convert to fraction form
    1,048.64/1,447.72 = 699.92/x
  3. Step 3: Cross multiply
    1,048.64x = 1,447.72 × 699.92
  4. Step 4: Simplify right side
    1,048.64x = 1,013,288.18
  5. Step 5: Solve for x
    x = 1,013,288.18/1,048.64
  6. Step 6: Final answer
    x = 966.29

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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.