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Finding the Fourth Proportional to 1,422.98, 2,135.23 and 557.30

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Solution

The fourth proportional to 1,422.98, 2,135.23 and 557.30 is: 836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.98 : 2,135.23 = 557.30 : x
  2. Step 2: Convert to fraction form
    1,422.98/2,135.23 = 557.30/x
  3. Step 3: Cross multiply
    1,422.98x = 2,135.23 × 557.30
  4. Step 4: Simplify right side
    1,422.98x = 1,189,963.68
  5. Step 5: Solve for x
    x = 1,189,963.68/1,422.98
  6. Step 6: Final answer
    x = 836.25

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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.