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Finding the Fourth Proportional to 1,494, 2,240.64 and 506.70

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Solution

The fourth proportional to 1,494, 2,240.64 and 506.70 is: 759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494 : 2,240.64 = 506.70 : x
  2. Step 2: Convert to fraction form
    1,494/2,240.64 = 506.70/x
  3. Step 3: Cross multiply
    1,494x = 2,240.64 × 506.70
  4. Step 4: Simplify right side
    1,494x = 1,135,332.29
  5. Step 5: Solve for x
    x = 1,135,332.29/1,494
  6. Step 6: Final answer
    x = 759.93

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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.