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Finding the Fourth Proportional to 1,008.12, 1,511.08 and 826.32

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Solution

The fourth proportional to 1,008.12, 1,511.08 and 826.32 is: 1,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.12 : 1,511.08 = 826.32 : x
  2. Step 2: Convert to fraction form
    1,008.12/1,511.08 = 826.32/x
  3. Step 3: Cross multiply
    1,008.12x = 1,511.08 × 826.32
  4. Step 4: Simplify right side
    1,008.12x = 1,248,635.63
  5. Step 5: Solve for x
    x = 1,248,635.63/1,008.12
  6. Step 6: Final answer
    x = 1,238.58

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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.