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Finding the Fourth Proportional to 922.91, 1,383.14 and 511.83

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Solution

The fourth proportional to 922.91, 1,383.14 and 511.83 is: 767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.91 : 1,383.14 = 511.83 : x
  2. Step 2: Convert to fraction form
    922.91/1,383.14 = 511.83/x
  3. Step 3: Cross multiply
    922.91x = 1,383.14 × 511.83
  4. Step 4: Simplify right side
    922.91x = 707,933.83
  5. Step 5: Solve for x
    x = 707,933.83/922.91
  6. Step 6: Final answer
    x = 767.07

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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.