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Finding the Fourth Proportional to 1,490.34, 2,236.14 and 566.34

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Solution

The fourth proportional to 1,490.34, 2,236.14 and 566.34 is: 849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.34 : 2,236.14 = 566.34 : x
  2. Step 2: Convert to fraction form
    1,490.34/2,236.14 = 566.34/x
  3. Step 3: Cross multiply
    1,490.34x = 2,236.14 × 566.34
  4. Step 4: Simplify right side
    1,490.34x = 1,266,415.53
  5. Step 5: Solve for x
    x = 1,266,415.53/1,490.34
  6. Step 6: Final answer
    x = 849.75

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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.