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Finding the Fourth Proportional to 1,295.33, 1,939.88 and 709.45

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Solution

The fourth proportional to 1,295.33, 1,939.88 and 709.45 is: 1,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.33 : 1,939.88 = 709.45 : x
  2. Step 2: Convert to fraction form
    1,295.33/1,939.88 = 709.45/x
  3. Step 3: Cross multiply
    1,295.33x = 1,939.88 × 709.45
  4. Step 4: Simplify right side
    1,295.33x = 1,376,244.79
  5. Step 5: Solve for x
    x = 1,376,244.79/1,295.33
  6. Step 6: Final answer
    x = 1,062.47

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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.