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Finding the Fourth Proportional to 952.05, 1,426.94 and 463.98

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Solution

The fourth proportional to 952.05, 1,426.94 and 463.98 is: 695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.05 : 1,426.94 = 463.98 : x
  2. Step 2: Convert to fraction form
    952.05/1,426.94 = 463.98/x
  3. Step 3: Cross multiply
    952.05x = 1,426.94 × 463.98
  4. Step 4: Simplify right side
    952.05x = 662,071.62
  5. Step 5: Solve for x
    x = 662,071.62/952.05
  6. Step 6: Final answer
    x = 695.42

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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.