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Finding the Fourth Proportional to 1,309.27, 1,964.01 and 529.18

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Solution

The fourth proportional to 1,309.27, 1,964.01 and 529.18 is: 793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.27 : 1,964.01 = 529.18 : x
  2. Step 2: Convert to fraction form
    1,309.27/1,964.01 = 529.18/x
  3. Step 3: Cross multiply
    1,309.27x = 1,964.01 × 529.18
  4. Step 4: Simplify right side
    1,309.27x = 1,039,314.81
  5. Step 5: Solve for x
    x = 1,039,314.81/1,309.27
  6. Step 6: Final answer
    x = 793.81

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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.