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Finding the Fourth Proportional to 922.24, 1,376.74 and 783.82

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Solution

The fourth proportional to 922.24, 1,376.74 and 783.82 is: 1,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.24 : 1,376.74 = 783.82 : x
  2. Step 2: Convert to fraction form
    922.24/1,376.74 = 783.82/x
  3. Step 3: Cross multiply
    922.24x = 1,376.74 × 783.82
  4. Step 4: Simplify right side
    922.24x = 1,079,116.35
  5. Step 5: Solve for x
    x = 1,079,116.35/922.24
  6. Step 6: Final answer
    x = 1,170.10

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