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Finding the Fourth Proportional to 1,036.10, 1,562.36 and 922.70

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Solution

The fourth proportional to 1,036.10, 1,562.36 and 922.70 is: 1,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.10 : 1,562.36 = 922.70 : x
  2. Step 2: Convert to fraction form
    1,036.10/1,562.36 = 922.70/x
  3. Step 3: Cross multiply
    1,036.10x = 1,562.36 × 922.70
  4. Step 4: Simplify right side
    1,036.10x = 1,441,589.57
  5. Step 5: Solve for x
    x = 1,441,589.57/1,036.10
  6. Step 6: Final answer
    x = 1,391.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.