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Finding the Fourth Proportional to 952.86, 1,429.53 and 375.78

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Solution

The fourth proportional to 952.86, 1,429.53 and 375.78 is: 563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.86 : 1,429.53 = 375.78 : x
  2. Step 2: Convert to fraction form
    952.86/1,429.53 = 375.78/x
  3. Step 3: Cross multiply
    952.86x = 1,429.53 × 375.78
  4. Step 4: Simplify right side
    952.86x = 537,188.78
  5. Step 5: Solve for x
    x = 537,188.78/952.86
  6. Step 6: Final answer
    x = 563.76

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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.