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Finding the Fourth Proportional to 1,043.68, 1,558.04 and 825.04

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Solution

The fourth proportional to 1,043.68, 1,558.04 and 825.04 is: 1,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.68 : 1,558.04 = 825.04 : x
  2. Step 2: Convert to fraction form
    1,043.68/1,558.04 = 825.04/x
  3. Step 3: Cross multiply
    1,043.68x = 1,558.04 × 825.04
  4. Step 4: Simplify right side
    1,043.68x = 1,285,445.32
  5. Step 5: Solve for x
    x = 1,285,445.32/1,043.68
  6. Step 6: Final answer
    x = 1,231.65

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Why These Related Problems?

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