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Finding the Fourth Proportional to 833.30, 1,252.38 and 823.58

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Solution

The fourth proportional to 833.30, 1,252.38 and 823.58 is: 1,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.30 : 1,252.38 = 823.58 : x
  2. Step 2: Convert to fraction form
    833.30/1,252.38 = 823.58/x
  3. Step 3: Cross multiply
    833.30x = 1,252.38 × 823.58
  4. Step 4: Simplify right side
    833.30x = 1,031,435.12
  5. Step 5: Solve for x
    x = 1,031,435.12/833.30
  6. Step 6: Final answer
    x = 1,237.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.