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Finding the Fourth Proportional to 1,490.69, 2,236.03 and 464.69

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Solution

The fourth proportional to 1,490.69, 2,236.03 and 464.69 is: 697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.69 : 2,236.03 = 464.69 : x
  2. Step 2: Convert to fraction form
    1,490.69/2,236.03 = 464.69/x
  3. Step 3: Cross multiply
    1,490.69x = 2,236.03 × 464.69
  4. Step 4: Simplify right side
    1,490.69x = 1,039,060.78
  5. Step 5: Solve for x
    x = 1,039,060.78/1,490.69
  6. Step 6: Final answer
    x = 697.03

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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.