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Finding the Fourth Proportional to 1,580.22, 2,369.55 and 605.70

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Solution

The fourth proportional to 1,580.22, 2,369.55 and 605.70 is: 908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.22 : 2,369.55 = 605.70 : x
  2. Step 2: Convert to fraction form
    1,580.22/2,369.55 = 605.70/x
  3. Step 3: Cross multiply
    1,580.22x = 2,369.55 × 605.70
  4. Step 4: Simplify right side
    1,580.22x = 1,435,236.44
  5. Step 5: Solve for x
    x = 1,435,236.44/1,580.22
  6. Step 6: Final answer
    x = 908.25

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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.