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Finding the Fourth Proportional to 1,150.05, 1,724.40 and 456.15

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Solution

The fourth proportional to 1,150.05, 1,724.40 and 456.15 is: 683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.05 : 1,724.40 = 456.15 : x
  2. Step 2: Convert to fraction form
    1,150.05/1,724.40 = 456.15/x
  3. Step 3: Cross multiply
    1,150.05x = 1,724.40 × 456.15
  4. Step 4: Simplify right side
    1,150.05x = 786,585.06
  5. Step 5: Solve for x
    x = 786,585.06/1,150.05
  6. Step 6: Final answer
    x = 683.96

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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.