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Finding the Fourth Proportional to 1,091.19, 1,634.05 and 652.17

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Solution

The fourth proportional to 1,091.19, 1,634.05 and 652.17 is: 976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.19 : 1,634.05 = 652.17 : x
  2. Step 2: Convert to fraction form
    1,091.19/1,634.05 = 652.17/x
  3. Step 3: Cross multiply
    1,091.19x = 1,634.05 × 652.17
  4. Step 4: Simplify right side
    1,091.19x = 1,065,678.39
  5. Step 5: Solve for x
    x = 1,065,678.39/1,091.19
  6. Step 6: Final answer
    x = 976.62

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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.