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Finding the Fourth Proportional to 1,506.35, 2,260.29 and 736.85

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Solution

The fourth proportional to 1,506.35, 2,260.29 and 736.85 is: 1,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.35 : 2,260.29 = 736.85 : x
  2. Step 2: Convert to fraction form
    1,506.35/2,260.29 = 736.85/x
  3. Step 3: Cross multiply
    1,506.35x = 2,260.29 × 736.85
  4. Step 4: Simplify right side
    1,506.35x = 1,665,483.39
  5. Step 5: Solve for x
    x = 1,665,483.39/1,506.35
  6. Step 6: Final answer
    x = 1,105.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.