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Finding the Fourth Proportional to 1,150.60, 1,724.34 and 601.66

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Solution

The fourth proportional to 1,150.60, 1,724.34 and 601.66 is: 901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.60 : 1,724.34 = 601.66 : x
  2. Step 2: Convert to fraction form
    1,150.60/1,724.34 = 601.66/x
  3. Step 3: Cross multiply
    1,150.60x = 1,724.34 × 601.66
  4. Step 4: Simplify right side
    1,150.60x = 1,037,466.40
  5. Step 5: Solve for x
    x = 1,037,466.40/1,150.60
  6. Step 6: Final answer
    x = 901.67

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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.