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Finding the Fourth Proportional to 1,496.68, 2,065.30 and 833.42

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Solution

The fourth proportional to 1,496.68, 2,065.30 and 833.42 is: 1,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.68 : 2,065.30 = 833.42 : x
  2. Step 2: Convert to fraction form
    1,496.68/2,065.30 = 833.42/x
  3. Step 3: Cross multiply
    1,496.68x = 2,065.30 × 833.42
  4. Step 4: Simplify right side
    1,496.68x = 1,721,265.41
  5. Step 5: Solve for x
    x = 1,721,265.41/1,496.68
  6. Step 6: Final answer
    x = 1,150.06

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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.