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Finding the Fourth Proportional to 1,504.73, 2,255.72 and 580.90

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Solution

The fourth proportional to 1,504.73, 2,255.72 and 580.90 is: 870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.73 : 2,255.72 = 580.90 : x
  2. Step 2: Convert to fraction form
    1,504.73/2,255.72 = 580.90/x
  3. Step 3: Cross multiply
    1,504.73x = 2,255.72 × 580.90
  4. Step 4: Simplify right side
    1,504.73x = 1,310,341.99
  5. Step 5: Solve for x
    x = 1,310,341.99/1,504.73
  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.