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Finding the Fourth Proportional to 741.52, 1,113.09 and 416.98

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Solution

The fourth proportional to 741.52, 1,113.09 and 416.98 is: 625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.52 : 1,113.09 = 416.98 : x
  2. Step 2: Convert to fraction form
    741.52/1,113.09 = 416.98/x
  3. Step 3: Cross multiply
    741.52x = 1,113.09 × 416.98
  4. Step 4: Simplify right side
    741.52x = 464,136.27
  5. Step 5: Solve for x
    x = 464,136.27/741.52
  6. Step 6: Final answer
    x = 625.93

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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.