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Finding the Fourth Proportional to 921.17, 1,383.14 and 576.69

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Solution

The fourth proportional to 921.17, 1,383.14 and 576.69 is: 865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.17 : 1,383.14 = 576.69 : x
  2. Step 2: Convert to fraction form
    921.17/1,383.14 = 576.69/x
  3. Step 3: Cross multiply
    921.17x = 1,383.14 × 576.69
  4. Step 4: Simplify right side
    921.17x = 797,639.26
  5. Step 5: Solve for x
    x = 797,639.26/921.17
  6. Step 6: Final answer
    x = 865.90

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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.