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Finding the Fourth Proportional to 1,306.10, 1,958.96 and 332.15

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Solution

The fourth proportional to 1,306.10, 1,958.96 and 332.15 is: 498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.10 : 1,958.96 = 332.15 : x
  2. Step 2: Convert to fraction form
    1,306.10/1,958.96 = 332.15/x
  3. Step 3: Cross multiply
    1,306.10x = 1,958.96 × 332.15
  4. Step 4: Simplify right side
    1,306.10x = 650,657.11
  5. Step 5: Solve for x
    x = 650,657.11/1,306.10
  6. Step 6: Final answer
    x = 498.17

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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.