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Finding the Fourth Proportional to 741.10, 1,107.15 and 478.96

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Solution

The fourth proportional to 741.10, 1,107.15 and 478.96 is: 715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.10 : 1,107.15 = 478.96 : x
  2. Step 2: Convert to fraction form
    741.10/1,107.15 = 478.96/x
  3. Step 3: Cross multiply
    741.10x = 1,107.15 × 478.96
  4. Step 4: Simplify right side
    741.10x = 530,280.56
  5. Step 5: Solve for x
    x = 530,280.56/741.10
  6. Step 6: Final answer
    x = 715.53

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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.