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Finding the Fourth Proportional to 1,099.70, 1,641.72 and 1,061.26

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Solution

The fourth proportional to 1,099.70, 1,641.72 and 1,061.26 is: 1,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.70 : 1,641.72 = 1,061.26 : x
  2. Step 2: Convert to fraction form
    1,099.70/1,641.72 = 1,061.26/x
  3. Step 3: Cross multiply
    1,099.70x = 1,641.72 × 1,061.26
  4. Step 4: Simplify right side
    1,099.70x = 1,742,291.77
  5. Step 5: Solve for x
    x = 1,742,291.77/1,099.70
  6. Step 6: Final answer
    x = 1,584.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.