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Finding the Fourth Proportional to 1,490.80, 2,234.43 and 612.76

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Solution

The fourth proportional to 1,490.80, 2,234.43 and 612.76 is: 918.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.80 : 2,234.43 = 612.76 : x
  2. Step 2: Convert to fraction form
    1,490.80/2,234.43 = 612.76/x
  3. Step 3: Cross multiply
    1,490.80x = 2,234.43 × 612.76
  4. Step 4: Simplify right side
    1,490.80x = 1,369,169.33
  5. Step 5: Solve for x
    x = 1,369,169.33/1,490.80
  6. Step 6: Final answer
    x = 918.41

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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.