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Finding the Fourth Proportional to 741.77, 1,023.74 and 479.60

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Solution

The fourth proportional to 741.77, 1,023.74 and 479.60 is: 661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.77 : 1,023.74 = 479.60 : x
  2. Step 2: Convert to fraction form
    741.77/1,023.74 = 479.60/x
  3. Step 3: Cross multiply
    741.77x = 1,023.74 × 479.60
  4. Step 4: Simplify right side
    741.77x = 490,978.19
  5. Step 5: Solve for x
    x = 490,978.19/741.77
  6. Step 6: Final answer
    x = 661.91

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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.