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Finding the Fourth Proportional to 1,511.39, 2,267.69 and 538.17

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Solution

The fourth proportional to 1,511.39, 2,267.69 and 538.17 is: 807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.39 : 2,267.69 = 538.17 : x
  2. Step 2: Convert to fraction form
    1,511.39/2,267.69 = 538.17/x
  3. Step 3: Cross multiply
    1,511.39x = 2,267.69 × 538.17
  4. Step 4: Simplify right side
    1,511.39x = 1,220,400.04
  5. Step 5: Solve for x
    x = 1,220,400.04/1,511.39
  6. Step 6: Final answer
    x = 807.47

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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.