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Finding the Fourth Proportional to 741.21, 1,111.40 and 466.71

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Solution

The fourth proportional to 741.21, 1,111.40 and 466.71 is: 699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.21 : 1,111.40 = 466.71 : x
  2. Step 2: Convert to fraction form
    741.21/1,111.40 = 466.71/x
  3. Step 3: Cross multiply
    741.21x = 1,111.40 × 466.71
  4. Step 4: Simplify right side
    741.21x = 518,701.49
  5. Step 5: Solve for x
    x = 518,701.49/741.21
  6. Step 6: Final answer
    x = 699.80

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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.