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Finding the Fourth Proportional to 777.13, 1,166.13 and 315.10

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Solution

The fourth proportional to 777.13, 1,166.13 and 315.10 is: 472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.13 : 1,166.13 = 315.10 : x
  2. Step 2: Convert to fraction form
    777.13/1,166.13 = 315.10/x
  3. Step 3: Cross multiply
    777.13x = 1,166.13 × 315.10
  4. Step 4: Simplify right side
    777.13x = 367,447.56
  5. Step 5: Solve for x
    x = 367,447.56/777.13
  6. Step 6: Final answer
    x = 472.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.