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Finding the Fourth Proportional to 741.83, 1,106.91 and 620.33

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Solution

The fourth proportional to 741.83, 1,106.91 and 620.33 is: 925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.83 : 1,106.91 = 620.33 : x
  2. Step 2: Convert to fraction form
    741.83/1,106.91 = 620.33/x
  3. Step 3: Cross multiply
    741.83x = 1,106.91 × 620.33
  4. Step 4: Simplify right side
    741.83x = 686,643.95
  5. Step 5: Solve for x
    x = 686,643.95/741.83
  6. Step 6: Final answer
    x = 925.61

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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.