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Finding the Fourth Proportional to 1,063.82, 1,462.38 and 950.58

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Solution

The fourth proportional to 1,063.82, 1,462.38 and 950.58 is: 1,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.82 : 1,462.38 = 950.58 : x
  2. Step 2: Convert to fraction form
    1,063.82/1,462.38 = 950.58/x
  3. Step 3: Cross multiply
    1,063.82x = 1,462.38 × 950.58
  4. Step 4: Simplify right side
    1,063.82x = 1,390,109.18
  5. Step 5: Solve for x
    x = 1,390,109.18/1,063.82
  6. Step 6: Final answer
    x = 1,306.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.