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Finding the Fourth Proportional to 1,026.41, 1,416.44 and 633.43

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Solution

The fourth proportional to 1,026.41, 1,416.44 and 633.43 is: 874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.41 : 1,416.44 = 633.43 : x
  2. Step 2: Convert to fraction form
    1,026.41/1,416.44 = 633.43/x
  3. Step 3: Cross multiply
    1,026.41x = 1,416.44 × 633.43
  4. Step 4: Simplify right side
    1,026.41x = 897,215.59
  5. Step 5: Solve for x
    x = 897,215.59/1,026.41
  6. Step 6: Final answer
    x = 874.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.