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Finding the Fourth Proportional to 1,304.66, 1,956.41 and 777.81

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Solution

The fourth proportional to 1,304.66, 1,956.41 and 777.81 is: 1,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.66 : 1,956.41 = 777.81 : x
  2. Step 2: Convert to fraction form
    1,304.66/1,956.41 = 777.81/x
  3. Step 3: Cross multiply
    1,304.66x = 1,956.41 × 777.81
  4. Step 4: Simplify right side
    1,304.66x = 1,521,715.26
  5. Step 5: Solve for x
    x = 1,521,715.26/1,304.66
  6. Step 6: Final answer
    x = 1,166.37

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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.