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Finding the Fourth Proportional to 704.11, 1,054.37 and 488.11

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Solution

The fourth proportional to 704.11, 1,054.37 and 488.11 is: 730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.11 : 1,054.37 = 488.11 : x
  2. Step 2: Convert to fraction form
    704.11/1,054.37 = 488.11/x
  3. Step 3: Cross multiply
    704.11x = 1,054.37 × 488.11
  4. Step 4: Simplify right side
    704.11x = 514,646.10
  5. Step 5: Solve for x
    x = 514,646.10/704.11
  6. Step 6: Final answer
    x = 730.92

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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.