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Finding the Fourth Proportional to 1,506.11, 2,257.21 and 580.76

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Solution

The fourth proportional to 1,506.11, 2,257.21 and 580.76 is: 870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.11 : 2,257.21 = 580.76 : x
  2. Step 2: Convert to fraction form
    1,506.11/2,257.21 = 580.76/x
  3. Step 3: Cross multiply
    1,506.11x = 2,257.21 × 580.76
  4. Step 4: Simplify right side
    1,506.11x = 1,310,883.09
  5. Step 5: Solve for x
    x = 1,310,883.09/1,506.11
  6. Step 6: Final answer
    x = 870.38

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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.