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Finding the Fourth Proportional to 1,095.35, 1,644.78 and 725.72

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Solution

The fourth proportional to 1,095.35, 1,644.78 and 725.72 is: 1,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.35 : 1,644.78 = 725.72 : x
  2. Step 2: Convert to fraction form
    1,095.35/1,644.78 = 725.72/x
  3. Step 3: Cross multiply
    1,095.35x = 1,644.78 × 725.72
  4. Step 4: Simplify right side
    1,095.35x = 1,193,641.52
  5. Step 5: Solve for x
    x = 1,193,641.52/1,095.35
  6. Step 6: Final answer
    x = 1,089.74

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