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Finding the Fourth Proportional to 1,424.88, 1,966.26 and 835.74

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Solution

The fourth proportional to 1,424.88, 1,966.26 and 835.74 is: 1,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.88 : 1,966.26 = 835.74 : x
  2. Step 2: Convert to fraction form
    1,424.88/1,966.26 = 835.74/x
  3. Step 3: Cross multiply
    1,424.88x = 1,966.26 × 835.74
  4. Step 4: Simplify right side
    1,424.88x = 1,643,282.13
  5. Step 5: Solve for x
    x = 1,643,282.13/1,424.88
  6. Step 6: Final answer
    x = 1,153.28

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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.