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Finding the Fourth Proportional to 1,506.89, 2,260.32 and 411.27

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Solution

The fourth proportional to 1,506.89, 2,260.32 and 411.27 is: 616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.89 : 2,260.32 = 411.27 : x
  2. Step 2: Convert to fraction form
    1,506.89/2,260.32 = 411.27/x
  3. Step 3: Cross multiply
    1,506.89x = 2,260.32 × 411.27
  4. Step 4: Simplify right side
    1,506.89x = 929,601.81
  5. Step 5: Solve for x
    x = 929,601.81/1,506.89
  6. Step 6: Final answer
    x = 616.90

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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.