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Finding the Fourth Proportional to 1,424.54, 1,966.30 and 835.22

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Solution

The fourth proportional to 1,424.54, 1,966.30 and 835.22 is: 1,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.54 : 1,966.30 = 835.22 : x
  2. Step 2: Convert to fraction form
    1,424.54/1,966.30 = 835.22/x
  3. Step 3: Cross multiply
    1,424.54x = 1,966.30 × 835.22
  4. Step 4: Simplify right side
    1,424.54x = 1,642,293.09
  5. Step 5: Solve for x
    x = 1,642,293.09/1,424.54
  6. Step 6: Final answer
    x = 1,152.86

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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.