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Finding the Fourth Proportional to 761.08, 1,141.86 and 328.12

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Solution

The fourth proportional to 761.08, 1,141.86 and 328.12 is: 492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.08 : 1,141.86 = 328.12 : x
  2. Step 2: Convert to fraction form
    761.08/1,141.86 = 328.12/x
  3. Step 3: Cross multiply
    761.08x = 1,141.86 × 328.12
  4. Step 4: Simplify right side
    761.08x = 374,667.10
  5. Step 5: Solve for x
    x = 374,667.10/761.08
  6. Step 6: Final answer
    x = 492.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.