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Finding the Fourth Proportional to 1,463.55, 2,019.89 and 834.31

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Solution

The fourth proportional to 1,463.55, 2,019.89 and 834.31 is: 1,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.55 : 2,019.89 = 834.31 : x
  2. Step 2: Convert to fraction form
    1,463.55/2,019.89 = 834.31/x
  3. Step 3: Cross multiply
    1,463.55x = 2,019.89 × 834.31
  4. Step 4: Simplify right side
    1,463.55x = 1,685,206.41
  5. Step 5: Solve for x
    x = 1,685,206.41/1,463.55
  6. Step 6: Final answer
    x = 1,151.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.