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Finding the Fourth Proportional to 1,490.05, 2,233.39 and 565.03

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Solution

The fourth proportional to 1,490.05, 2,233.39 and 565.03 is: 846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.05 : 2,233.39 = 565.03 : x
  2. Step 2: Convert to fraction form
    1,490.05/2,233.39 = 565.03/x
  3. Step 3: Cross multiply
    1,490.05x = 2,233.39 × 565.03
  4. Step 4: Simplify right side
    1,490.05x = 1,261,932.35
  5. Step 5: Solve for x
    x = 1,261,932.35/1,490.05
  6. Step 6: Final answer
    x = 846.91

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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.