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Finding the Fourth Proportional to 741.86, 1,111.73 and 416.54

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Solution

The fourth proportional to 741.86, 1,111.73 and 416.54 is: 624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.86 : 1,111.73 = 416.54 : x
  2. Step 2: Convert to fraction form
    741.86/1,111.73 = 416.54/x
  3. Step 3: Cross multiply
    741.86x = 1,111.73 × 416.54
  4. Step 4: Simplify right side
    741.86x = 463,080.71
  5. Step 5: Solve for x
    x = 463,080.71/741.86
  6. Step 6: Final answer
    x = 624.22

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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.