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Finding the Fourth Proportional to 1,300.91, 1,951.37 and 520.97

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Solution

The fourth proportional to 1,300.91, 1,951.37 and 520.97 is: 781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.91 : 1,951.37 = 520.97 : x
  2. Step 2: Convert to fraction form
    1,300.91/1,951.37 = 520.97/x
  3. Step 3: Cross multiply
    1,300.91x = 1,951.37 × 520.97
  4. Step 4: Simplify right side
    1,300.91x = 1,016,605.23
  5. Step 5: Solve for x
    x = 1,016,605.23/1,300.91
  6. Step 6: Final answer
    x = 781.46

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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.