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Finding the Fourth Proportional to 1,095.67, 1,644.37 and 575.97

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Solution

The fourth proportional to 1,095.67, 1,644.37 and 575.97 is: 864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.67 : 1,644.37 = 575.97 : x
  2. Step 2: Convert to fraction form
    1,095.67/1,644.37 = 575.97/x
  3. Step 3: Cross multiply
    1,095.67x = 1,644.37 × 575.97
  4. Step 4: Simplify right side
    1,095.67x = 947,111.86
  5. Step 5: Solve for x
    x = 947,111.86/1,095.67
  6. Step 6: Final answer
    x = 864.42

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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.