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Finding the Fourth Proportional to 1,011.14, 1,516.62 and 317.79

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Solution

The fourth proportional to 1,011.14, 1,516.62 and 317.79 is: 476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.14 : 1,516.62 = 317.79 : x
  2. Step 2: Convert to fraction form
    1,011.14/1,516.62 = 317.79/x
  3. Step 3: Cross multiply
    1,011.14x = 1,516.62 × 317.79
  4. Step 4: Simplify right side
    1,011.14x = 481,968.87
  5. Step 5: Solve for x
    x = 481,968.87/1,011.14
  6. Step 6: Final answer
    x = 476.66

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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.