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Finding the Fourth Proportional to 833.63, 1,248.75 and 696.23

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Solution

The fourth proportional to 833.63, 1,248.75 and 696.23 is: 1,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.63 : 1,248.75 = 696.23 : x
  2. Step 2: Convert to fraction form
    833.63/1,248.75 = 696.23/x
  3. Step 3: Cross multiply
    833.63x = 1,248.75 × 696.23
  4. Step 4: Simplify right side
    833.63x = 869,415.65
  5. Step 5: Solve for x
    x = 869,415.65/833.63
  6. Step 6: Final answer
    x = 1,042.93

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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.