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Finding the Fourth Proportional to 1,511.57, 2,267.99 and 587.78

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Solution

The fourth proportional to 1,511.57, 2,267.99 and 587.78 is: 881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.57 : 2,267.99 = 587.78 : x
  2. Step 2: Convert to fraction form
    1,511.57/2,267.99 = 587.78/x
  3. Step 3: Cross multiply
    1,511.57x = 2,267.99 × 587.78
  4. Step 4: Simplify right side
    1,511.57x = 1,333,064.88
  5. Step 5: Solve for x
    x = 1,333,064.88/1,511.57
  6. Step 6: Final answer
    x = 881.91

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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.