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Finding the Fourth Proportional to 1,424.55, 1,966.06 and 834.97

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Solution

The fourth proportional to 1,424.55, 1,966.06 and 834.97 is: 1,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.55 : 1,966.06 = 834.97 : x
  2. Step 2: Convert to fraction form
    1,424.55/1,966.06 = 834.97/x
  3. Step 3: Cross multiply
    1,424.55x = 1,966.06 × 834.97
  4. Step 4: Simplify right side
    1,424.55x = 1,641,601.12
  5. Step 5: Solve for x
    x = 1,641,601.12/1,424.55
  6. Step 6: Final answer
    x = 1,152.36

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Why These Related Problems?

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