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Finding the Fourth Proportional to 1,048.68, 1,447.20 and 787.44

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Solution

The fourth proportional to 1,048.68, 1,447.20 and 787.44 is: 1,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.68 : 1,447.20 = 787.44 : x
  2. Step 2: Convert to fraction form
    1,048.68/1,447.20 = 787.44/x
  3. Step 3: Cross multiply
    1,048.68x = 1,447.20 × 787.44
  4. Step 4: Simplify right side
    1,048.68x = 1,139,583.17
  5. Step 5: Solve for x
    x = 1,139,583.17/1,048.68
  6. Step 6: Final answer
    x = 1,086.68

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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.