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Finding the Fourth Proportional to 1,021.36, 1,524.31 and 922.95

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Solution

The fourth proportional to 1,021.36, 1,524.31 and 922.95 is: 1,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.36 : 1,524.31 = 922.95 : x
  2. Step 2: Convert to fraction form
    1,021.36/1,524.31 = 922.95/x
  3. Step 3: Cross multiply
    1,021.36x = 1,524.31 × 922.95
  4. Step 4: Simplify right side
    1,021.36x = 1,406,861.91
  5. Step 5: Solve for x
    x = 1,406,861.91/1,021.36
  6. Step 6: Final answer
    x = 1,377.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.