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Finding the Fourth Proportional to 741.42, 1,022.08 and 583.76

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Solution

The fourth proportional to 741.42, 1,022.08 and 583.76 is: 804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.42 : 1,022.08 = 583.76 : x
  2. Step 2: Convert to fraction form
    741.42/1,022.08 = 583.76/x
  3. Step 3: Cross multiply
    741.42x = 1,022.08 × 583.76
  4. Step 4: Simplify right side
    741.42x = 596,649.42
  5. Step 5: Solve for x
    x = 596,649.42/741.42
  6. Step 6: Final answer
    x = 804.74

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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.