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Finding the Fourth Proportional to 1,415.98, 2,123.10 and 635.82

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Solution

The fourth proportional to 1,415.98, 2,123.10 and 635.82 is: 953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.98 : 2,123.10 = 635.82 : x
  2. Step 2: Convert to fraction form
    1,415.98/2,123.10 = 635.82/x
  3. Step 3: Cross multiply
    1,415.98x = 2,123.10 × 635.82
  4. Step 4: Simplify right side
    1,415.98x = 1,349,909.44
  5. Step 5: Solve for x
    x = 1,349,909.44/1,415.98
  6. Step 6: Final answer
    x = 953.34

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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.