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Finding the Fourth Proportional to 922.34, 1,386.70 and 741

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Solution

The fourth proportional to 922.34, 1,386.70 and 741 is: 1,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.34 : 1,386.70 = 741 : x
  2. Step 2: Convert to fraction form
    922.34/1,386.70 = 741/x
  3. Step 3: Cross multiply
    922.34x = 1,386.70 × 741
  4. Step 4: Simplify right side
    922.34x = 1,027,544.70
  5. Step 5: Solve for x
    x = 1,027,544.70/922.34
  6. Step 6: Final answer
    x = 1,114.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.