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Finding the Fourth Proportional to 1,005.36, 1,495.41 and 922.74

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Solution

The fourth proportional to 1,005.36, 1,495.41 and 922.74 is: 1,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.36 : 1,495.41 = 922.74 : x
  2. Step 2: Convert to fraction form
    1,005.36/1,495.41 = 922.74/x
  3. Step 3: Cross multiply
    1,005.36x = 1,495.41 × 922.74
  4. Step 4: Simplify right side
    1,005.36x = 1,379,874.62
  5. Step 5: Solve for x
    x = 1,379,874.62/1,005.36
  6. Step 6: Final answer
    x = 1,372.52

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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.