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Finding the Fourth Proportional to 1,033.54, 1,428.24 and 784.42

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Solution

The fourth proportional to 1,033.54, 1,428.24 and 784.42 is: 1,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.54 : 1,428.24 = 784.42 : x
  2. Step 2: Convert to fraction form
    1,033.54/1,428.24 = 784.42/x
  3. Step 3: Cross multiply
    1,033.54x = 1,428.24 × 784.42
  4. Step 4: Simplify right side
    1,033.54x = 1,120,340.02
  5. Step 5: Solve for x
    x = 1,120,340.02/1,033.54
  6. Step 6: Final answer
    x = 1,083.98

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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.