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Finding the Fourth Proportional to 1,490.77, 2,236.10 and 613.03

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Solution

The fourth proportional to 1,490.77, 2,236.10 and 613.03 is: 919.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.77 : 2,236.10 = 613.03 : x
  2. Step 2: Convert to fraction form
    1,490.77/2,236.10 = 613.03/x
  3. Step 3: Cross multiply
    1,490.77x = 2,236.10 × 613.03
  4. Step 4: Simplify right side
    1,490.77x = 1,370,793.37
  5. Step 5: Solve for x
    x = 1,370,793.37/1,490.77
  6. Step 6: Final answer
    x = 919.52

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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.