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Finding the Fourth Proportional to 776.99, 1,165.48 and 314.76

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Solution

The fourth proportional to 776.99, 1,165.48 and 314.76 is: 472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.99 : 1,165.48 = 314.76 : x
  2. Step 2: Convert to fraction form
    776.99/1,165.48 = 314.76/x
  3. Step 3: Cross multiply
    776.99x = 1,165.48 × 314.76
  4. Step 4: Simplify right side
    776.99x = 366,849.40
  5. Step 5: Solve for x
    x = 366,849.40/776.99
  6. Step 6: Final answer
    x = 472.14

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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.