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Finding the Fourth Proportional to 1,096.70, 1,643.90 and 1,006.52

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Solution

The fourth proportional to 1,096.70, 1,643.90 and 1,006.52 is: 1,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.70 : 1,643.90 = 1,006.52 : x
  2. Step 2: Convert to fraction form
    1,096.70/1,643.90 = 1,006.52/x
  3. Step 3: Cross multiply
    1,096.70x = 1,643.90 × 1,006.52
  4. Step 4: Simplify right side
    1,096.70x = 1,654,618.23
  5. Step 5: Solve for x
    x = 1,654,618.23/1,096.70
  6. Step 6: Final answer
    x = 1,508.72

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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.