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Finding the Fourth Proportional to 1,357.93, 1,873.84 and 833.97

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Solution

The fourth proportional to 1,357.93, 1,873.84 and 833.97 is: 1,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.93 : 1,873.84 = 833.97 : x
  2. Step 2: Convert to fraction form
    1,357.93/1,873.84 = 833.97/x
  3. Step 3: Cross multiply
    1,357.93x = 1,873.84 × 833.97
  4. Step 4: Simplify right side
    1,357.93x = 1,562,726.34
  5. Step 5: Solve for x
    x = 1,562,726.34/1,357.93
  6. Step 6: Final answer
    x = 1,150.82

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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.