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Finding the Fourth Proportional to 741.84, 1,023.75 and 426.93

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Solution

The fourth proportional to 741.84, 1,023.75 and 426.93 is: 589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,023.75 = 426.93 : x
  2. Step 2: Convert to fraction form
    741.84/1,023.75 = 426.93/x
  3. Step 3: Cross multiply
    741.84x = 1,023.75 × 426.93
  4. Step 4: Simplify right side
    741.84x = 437,069.59
  5. Step 5: Solve for x
    x = 437,069.59/741.84
  6. Step 6: Final answer
    x = 589.17

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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.