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Finding the Fourth Proportional to 1,511.44, 2,267.32 and 471.48

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Solution

The fourth proportional to 1,511.44, 2,267.32 and 471.48 is: 707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.44 : 2,267.32 = 471.48 : x
  2. Step 2: Convert to fraction form
    1,511.44/2,267.32 = 471.48/x
  3. Step 3: Cross multiply
    1,511.44x = 2,267.32 × 471.48
  4. Step 4: Simplify right side
    1,511.44x = 1,068,996.03
  5. Step 5: Solve for x
    x = 1,068,996.03/1,511.44
  6. Step 6: Final answer
    x = 707.27

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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.