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Finding the Fourth Proportional to 882.51, 1,216.42 and 833.29

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Solution

The fourth proportional to 882.51, 1,216.42 and 833.29 is: 1,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.51 : 1,216.42 = 833.29 : x
  2. Step 2: Convert to fraction form
    882.51/1,216.42 = 833.29/x
  3. Step 3: Cross multiply
    882.51x = 1,216.42 × 833.29
  4. Step 4: Simplify right side
    882.51x = 1,013,630.62
  5. Step 5: Solve for x
    x = 1,013,630.62/882.51
  6. Step 6: Final answer
    x = 1,148.58

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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.