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Finding the Fourth Proportional to 1,486.71, 2,228.67 and 512.13

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Solution

The fourth proportional to 1,486.71, 2,228.67 and 512.13 is: 767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.71 : 2,228.67 = 512.13 : x
  2. Step 2: Convert to fraction form
    1,486.71/2,228.67 = 512.13/x
  3. Step 3: Cross multiply
    1,486.71x = 2,228.67 × 512.13
  4. Step 4: Simplify right side
    1,486.71x = 1,141,368.77
  5. Step 5: Solve for x
    x = 1,141,368.77/1,486.71
  6. Step 6: Final answer
    x = 767.71

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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.