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Finding the Fourth Proportional to 1,316.66, 1,974.65 and 439.23

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Solution

The fourth proportional to 1,316.66, 1,974.65 and 439.23 is: 658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.66 : 1,974.65 = 439.23 : x
  2. Step 2: Convert to fraction form
    1,316.66/1,974.65 = 439.23/x
  3. Step 3: Cross multiply
    1,316.66x = 1,974.65 × 439.23
  4. Step 4: Simplify right side
    1,316.66x = 867,325.52
  5. Step 5: Solve for x
    x = 867,325.52/1,316.66
  6. Step 6: Final answer
    x = 658.73

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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.