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Finding the Fourth Proportional to 1,055.75, 1,583.62 and 824.29

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Solution

The fourth proportional to 1,055.75, 1,583.62 and 824.29 is: 1,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.75 : 1,583.62 = 824.29 : x
  2. Step 2: Convert to fraction form
    1,055.75/1,583.62 = 824.29/x
  3. Step 3: Cross multiply
    1,055.75x = 1,583.62 × 824.29
  4. Step 4: Simplify right side
    1,055.75x = 1,305,356.11
  5. Step 5: Solve for x
    x = 1,305,356.11/1,055.75
  6. Step 6: Final answer
    x = 1,236.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.