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Finding the Fourth Proportional to 1,012.84, 1,516.67 and 807.71

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Solution

The fourth proportional to 1,012.84, 1,516.67 and 807.71 is: 1,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.84 : 1,516.67 = 807.71 : x
  2. Step 2: Convert to fraction form
    1,012.84/1,516.67 = 807.71/x
  3. Step 3: Cross multiply
    1,012.84x = 1,516.67 × 807.71
  4. Step 4: Simplify right side
    1,012.84x = 1,225,018.66
  5. Step 5: Solve for x
    x = 1,225,018.66/1,012.84
  6. Step 6: Final answer
    x = 1,209.49

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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.