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Finding the Fourth Proportional to 1,011.14, 1,516.71 and 317.86

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Solution

The fourth proportional to 1,011.14, 1,516.71 and 317.86 is: 476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.14 : 1,516.71 = 317.86 : x
  2. Step 2: Convert to fraction form
    1,011.14/1,516.71 = 317.86/x
  3. Step 3: Cross multiply
    1,011.14x = 1,516.71 × 317.86
  4. Step 4: Simplify right side
    1,011.14x = 482,104.53
  5. Step 5: Solve for x
    x = 482,104.53/1,011.14
  6. Step 6: Final answer
    x = 476.79

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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.