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Finding the Fourth Proportional to 1,043.28, 1,559.25 and 824.58

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Solution

The fourth proportional to 1,043.28, 1,559.25 and 824.58 is: 1,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.28 : 1,559.25 = 824.58 : x
  2. Step 2: Convert to fraction form
    1,043.28/1,559.25 = 824.58/x
  3. Step 3: Cross multiply
    1,043.28x = 1,559.25 × 824.58
  4. Step 4: Simplify right side
    1,043.28x = 1,285,726.37
  5. Step 5: Solve for x
    x = 1,285,726.37/1,043.28
  6. Step 6: Final answer
    x = 1,232.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.