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Finding the Fourth Proportional to 1,104.61, 1,524.30 and 662.29

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Solution

The fourth proportional to 1,104.61, 1,524.30 and 662.29 is: 913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.61 : 1,524.30 = 662.29 : x
  2. Step 2: Convert to fraction form
    1,104.61/1,524.30 = 662.29/x
  3. Step 3: Cross multiply
    1,104.61x = 1,524.30 × 662.29
  4. Step 4: Simplify right side
    1,104.61x = 1,009,528.65
  5. Step 5: Solve for x
    x = 1,009,528.65/1,104.61
  6. Step 6: Final answer
    x = 913.92

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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.