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Finding the Fourth Proportional to 800.48, 1,198.15 and 429.36

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Solution

The fourth proportional to 800.48, 1,198.15 and 429.36 is: 642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.48 : 1,198.15 = 429.36 : x
  2. Step 2: Convert to fraction form
    800.48/1,198.15 = 429.36/x
  3. Step 3: Cross multiply
    800.48x = 1,198.15 × 429.36
  4. Step 4: Simplify right side
    800.48x = 514,437.68
  5. Step 5: Solve for x
    x = 514,437.68/800.48
  6. Step 6: Final answer
    x = 642.66

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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.