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Finding the Fourth Proportional to 741.11, 1,111.64 and 416.48

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Solution

The fourth proportional to 741.11, 1,111.64 and 416.48 is: 624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.11 : 1,111.64 = 416.48 : x
  2. Step 2: Convert to fraction form
    741.11/1,111.64 = 416.48/x
  3. Step 3: Cross multiply
    741.11x = 1,111.64 × 416.48
  4. Step 4: Simplify right side
    741.11x = 462,968.19
  5. Step 5: Solve for x
    x = 462,968.19/741.11
  6. Step 6: Final answer
    x = 624.70

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Why These Related Problems?

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