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Finding the Fourth Proportional to 922.46, 1,376.55 and 823.90

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Solution

The fourth proportional to 922.46, 1,376.55 and 823.90 is: 1,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.46 : 1,376.55 = 823.90 : x
  2. Step 2: Convert to fraction form
    922.46/1,376.55 = 823.90/x
  3. Step 3: Cross multiply
    922.46x = 1,376.55 × 823.90
  4. Step 4: Simplify right side
    922.46x = 1,134,139.19
  5. Step 5: Solve for x
    x = 1,134,139.19/922.46
  6. Step 6: Final answer
    x = 1,229.47

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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.