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Finding the Fourth Proportional to 1,505.66, 2,257.61 and 580.77

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Solution

The fourth proportional to 1,505.66, 2,257.61 and 580.77 is: 870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.66 : 2,257.61 = 580.77 : x
  2. Step 2: Convert to fraction form
    1,505.66/2,257.61 = 580.77/x
  3. Step 3: Cross multiply
    1,505.66x = 2,257.61 × 580.77
  4. Step 4: Simplify right side
    1,505.66x = 1,311,149.26
  5. Step 5: Solve for x
    x = 1,311,149.26/1,505.66
  6. Step 6: Final answer
    x = 870.82

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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.