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Finding the Fourth Proportional to 922.49, 1,382.67 and 374.02

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Solution

The fourth proportional to 922.49, 1,382.67 and 374.02 is: 560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.49 : 1,382.67 = 374.02 : x
  2. Step 2: Convert to fraction form
    922.49/1,382.67 = 374.02/x
  3. Step 3: Cross multiply
    922.49x = 1,382.67 × 374.02
  4. Step 4: Simplify right side
    922.49x = 517,142.78
  5. Step 5: Solve for x
    x = 517,142.78/922.49
  6. Step 6: Final answer
    x = 560.60

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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.