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Finding the Fourth Proportional to 1,415.40, 2,123.16 and 634.56

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Solution

The fourth proportional to 1,415.40, 2,123.16 and 634.56 is: 951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.40 : 2,123.16 = 634.56 : x
  2. Step 2: Convert to fraction form
    1,415.40/2,123.16 = 634.56/x
  3. Step 3: Cross multiply
    1,415.40x = 2,123.16 × 634.56
  4. Step 4: Simplify right side
    1,415.40x = 1,347,272.41
  5. Step 5: Solve for x
    x = 1,347,272.41/1,415.40
  6. Step 6: Final answer
    x = 951.87

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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.