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Finding the Fourth Proportional to 741.52, 1,022.84 and 594.51

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Solution

The fourth proportional to 741.52, 1,022.84 and 594.51 is: 820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.52 : 1,022.84 = 594.51 : x
  2. Step 2: Convert to fraction form
    741.52/1,022.84 = 594.51/x
  3. Step 3: Cross multiply
    741.52x = 1,022.84 × 594.51
  4. Step 4: Simplify right side
    741.52x = 608,084.03
  5. Step 5: Solve for x
    x = 608,084.03/741.52
  6. Step 6: Final answer
    x = 820.05

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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.