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Finding the Fourth Proportional to 1,490.41, 2,235.77 and 516.51

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Solution

The fourth proportional to 1,490.41, 2,235.77 and 516.51 is: 774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.41 : 2,235.77 = 516.51 : x
  2. Step 2: Convert to fraction form
    1,490.41/2,235.77 = 516.51/x
  3. Step 3: Cross multiply
    1,490.41x = 2,235.77 × 516.51
  4. Step 4: Simplify right side
    1,490.41x = 1,154,783.80
  5. Step 5: Solve for x
    x = 1,154,783.80/1,490.41
  6. Step 6: Final answer
    x = 774.81

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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.