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Finding the Fourth Proportional to 1,424.52, 1,965.53 and 834.93

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Solution

The fourth proportional to 1,424.52, 1,965.53 and 834.93 is: 1,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.52 : 1,965.53 = 834.93 : x
  2. Step 2: Convert to fraction form
    1,424.52/1,965.53 = 834.93/x
  3. Step 3: Cross multiply
    1,424.52x = 1,965.53 × 834.93
  4. Step 4: Simplify right side
    1,424.52x = 1,641,082.05
  5. Step 5: Solve for x
    x = 1,641,082.05/1,424.52
  6. Step 6: Final answer
    x = 1,152.02

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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.