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Finding the Fourth Proportional to 1,295.19, 1,942.36 and 515.39

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Solution

The fourth proportional to 1,295.19, 1,942.36 and 515.39 is: 772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.19 : 1,942.36 = 515.39 : x
  2. Step 2: Convert to fraction form
    1,295.19/1,942.36 = 515.39/x
  3. Step 3: Cross multiply
    1,295.19x = 1,942.36 × 515.39
  4. Step 4: Simplify right side
    1,295.19x = 1,001,061.92
  5. Step 5: Solve for x
    x = 1,001,061.92/1,295.19
  6. Step 6: Final answer
    x = 772.91

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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.