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Finding the Fourth Proportional to 833.26, 1,154.77 and 821.52

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Solution

The fourth proportional to 833.26, 1,154.77 and 821.52 is: 1,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.26 : 1,154.77 = 821.52 : x
  2. Step 2: Convert to fraction form
    833.26/1,154.77 = 821.52/x
  3. Step 3: Cross multiply
    833.26x = 1,154.77 × 821.52
  4. Step 4: Simplify right side
    833.26x = 948,656.77
  5. Step 5: Solve for x
    x = 948,656.77/833.26
  6. Step 6: Final answer
    x = 1,138.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.