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Finding the Fourth Proportional to 1,306.19, 1,958.52 and 867.68

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Solution

The fourth proportional to 1,306.19, 1,958.52 and 867.68 is: 1,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.19 : 1,958.52 = 867.68 : x
  2. Step 2: Convert to fraction form
    1,306.19/1,958.52 = 867.68/x
  3. Step 3: Cross multiply
    1,306.19x = 1,958.52 × 867.68
  4. Step 4: Simplify right side
    1,306.19x = 1,699,368.63
  5. Step 5: Solve for x
    x = 1,699,368.63/1,306.19
  6. Step 6: Final answer
    x = 1,301.01

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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.