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Finding the Fourth Proportional to 704.82, 1,051.75 and 632.18

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Solution

The fourth proportional to 704.82, 1,051.75 and 632.18 is: 943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.82 : 1,051.75 = 632.18 : x
  2. Step 2: Convert to fraction form
    704.82/1,051.75 = 632.18/x
  3. Step 3: Cross multiply
    704.82x = 1,051.75 × 632.18
  4. Step 4: Simplify right side
    704.82x = 664,892.15
  5. Step 5: Solve for x
    x = 664,892.15/704.82
  6. Step 6: Final answer
    x = 943.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.