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Finding the Fourth Proportional to 1,301.36, 1,951.04 and 520.72

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Solution

The fourth proportional to 1,301.36, 1,951.04 and 520.72 is: 780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.36 : 1,951.04 = 520.72 : x
  2. Step 2: Convert to fraction form
    1,301.36/1,951.04 = 520.72/x
  3. Step 3: Cross multiply
    1,301.36x = 1,951.04 × 520.72
  4. Step 4: Simplify right side
    1,301.36x = 1,015,945.55
  5. Step 5: Solve for x
    x = 1,015,945.55/1,301.36
  6. Step 6: Final answer
    x = 780.68

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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.