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Finding the Fourth Proportional to 1,099.74, 1,647.01 and 954.67

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Solution

The fourth proportional to 1,099.74, 1,647.01 and 954.67 is: 1,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.74 : 1,647.01 = 954.67 : x
  2. Step 2: Convert to fraction form
    1,099.74/1,647.01 = 954.67/x
  3. Step 3: Cross multiply
    1,099.74x = 1,647.01 × 954.67
  4. Step 4: Simplify right side
    1,099.74x = 1,572,346.26
  5. Step 5: Solve for x
    x = 1,572,346.26/1,099.74
  6. Step 6: Final answer
    x = 1,429.74

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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.