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Finding the Fourth Proportional to 1,511.43, 2,266.78 and 586.95

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Solution

The fourth proportional to 1,511.43, 2,266.78 and 586.95 is: 880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.43 : 2,266.78 = 586.95 : x
  2. Step 2: Convert to fraction form
    1,511.43/2,266.78 = 586.95/x
  3. Step 3: Cross multiply
    1,511.43x = 2,266.78 × 586.95
  4. Step 4: Simplify right side
    1,511.43x = 1,330,473.72
  5. Step 5: Solve for x
    x = 1,330,473.72/1,511.43
  6. Step 6: Final answer
    x = 880.28

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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.