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Finding the Fourth Proportional to 833.92, 1,244.53 and 741.66

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Solution

The fourth proportional to 833.92, 1,244.53 and 741.66 is: 1,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.92 : 1,244.53 = 741.66 : x
  2. Step 2: Convert to fraction form
    833.92/1,244.53 = 741.66/x
  3. Step 3: Cross multiply
    833.92x = 1,244.53 × 741.66
  4. Step 4: Simplify right side
    833.92x = 923,018.12
  5. Step 5: Solve for x
    x = 923,018.12/833.92
  6. Step 6: Final answer
    x = 1,106.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.