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Finding the Fourth Proportional to 1,296.15, 1,942.40 and 709.65

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Solution

The fourth proportional to 1,296.15, 1,942.40 and 709.65 is: 1,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.15 : 1,942.40 = 709.65 : x
  2. Step 2: Convert to fraction form
    1,296.15/1,942.40 = 709.65/x
  3. Step 3: Cross multiply
    1,296.15x = 1,942.40 × 709.65
  4. Step 4: Simplify right side
    1,296.15x = 1,378,420.61
  5. Step 5: Solve for x
    x = 1,378,420.61/1,296.15
  6. Step 6: Final answer
    x = 1,063.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.