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Finding the Fourth Proportional to 741.16, 1,023.12 and 479.60

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Solution

The fourth proportional to 741.16, 1,023.12 and 479.60 is: 662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.16 : 1,023.12 = 479.60 : x
  2. Step 2: Convert to fraction form
    741.16/1,023.12 = 479.60/x
  3. Step 3: Cross multiply
    741.16x = 1,023.12 × 479.60
  4. Step 4: Simplify right side
    741.16x = 490,688.35
  5. Step 5: Solve for x
    x = 490,688.35/741.16
  6. Step 6: Final answer
    x = 662.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.