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Finding the Fourth Proportional to 777.47, 1,166.25 and 315.24

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Solution

The fourth proportional to 777.47, 1,166.25 and 315.24 is: 472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.47 : 1,166.25 = 315.24 : x
  2. Step 2: Convert to fraction form
    777.47/1,166.25 = 315.24/x
  3. Step 3: Cross multiply
    777.47x = 1,166.25 × 315.24
  4. Step 4: Simplify right side
    777.47x = 367,648.65
  5. Step 5: Solve for x
    x = 367,648.65/777.47
  6. Step 6: Final answer
    x = 472.88

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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.