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Finding the Fourth Proportional to 776.27, 1,162.56 and 631.67

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Solution

The fourth proportional to 776.27, 1,162.56 and 631.67 is: 946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.27 : 1,162.56 = 631.67 : x
  2. Step 2: Convert to fraction form
    776.27/1,162.56 = 631.67/x
  3. Step 3: Cross multiply
    776.27x = 1,162.56 × 631.67
  4. Step 4: Simplify right side
    776.27x = 734,354.28
  5. Step 5: Solve for x
    x = 734,354.28/776.27
  6. Step 6: Final answer
    x = 946.00

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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.