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Finding the Fourth Proportional to 1,393.01, 1,922.29 and 833.14

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Solution

The fourth proportional to 1,393.01, 1,922.29 and 833.14 is: 1,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.01 : 1,922.29 = 833.14 : x
  2. Step 2: Convert to fraction form
    1,393.01/1,922.29 = 833.14/x
  3. Step 3: Cross multiply
    1,393.01x = 1,922.29 × 833.14
  4. Step 4: Simplify right side
    1,393.01x = 1,601,539.41
  5. Step 5: Solve for x
    x = 1,601,539.41/1,393.01
  6. Step 6: Final answer
    x = 1,149.70

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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.