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Finding the Fourth Proportional to 1,286.87, 1,929.99 and 701.24

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Solution

The fourth proportional to 1,286.87, 1,929.99 and 701.24 is: 1,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.87 : 1,929.99 = 701.24 : x
  2. Step 2: Convert to fraction form
    1,286.87/1,929.99 = 701.24/x
  3. Step 3: Cross multiply
    1,286.87x = 1,929.99 × 701.24
  4. Step 4: Simplify right side
    1,286.87x = 1,353,386.19
  5. Step 5: Solve for x
    x = 1,353,386.19/1,286.87
  6. Step 6: Final answer
    x = 1,051.69

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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.