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Finding the Fourth Proportional to 741.90, 1,112.85 and 309.09

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Solution

The fourth proportional to 741.90, 1,112.85 and 309.09 is: 463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.90 : 1,112.85 = 309.09 : x
  2. Step 2: Convert to fraction form
    741.90/1,112.85 = 309.09/x
  3. Step 3: Cross multiply
    741.90x = 1,112.85 × 309.09
  4. Step 4: Simplify right side
    741.90x = 343,970.81
  5. Step 5: Solve for x
    x = 343,970.81/741.90
  6. Step 6: Final answer
    x = 463.64

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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.