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Finding the Fourth Proportional to 1,095.34, 1,639.76 and 661.18

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Solution

The fourth proportional to 1,095.34, 1,639.76 and 661.18 is: 989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.34 : 1,639.76 = 661.18 : x
  2. Step 2: Convert to fraction form
    1,095.34/1,639.76 = 661.18/x
  3. Step 3: Cross multiply
    1,095.34x = 1,639.76 × 661.18
  4. Step 4: Simplify right side
    1,095.34x = 1,084,176.52
  5. Step 5: Solve for x
    x = 1,084,176.52/1,095.34
  6. Step 6: Final answer
    x = 989.81

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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.