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Finding the Fourth Proportional to 1,026.82, 1,416 and 633.76

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Solution

The fourth proportional to 1,026.82, 1,416 and 633.76 is: 873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.82 : 1,416 = 633.76 : x
  2. Step 2: Convert to fraction form
    1,026.82/1,416 = 633.76/x
  3. Step 3: Cross multiply
    1,026.82x = 1,416 × 633.76
  4. Step 4: Simplify right side
    1,026.82x = 897,404.16
  5. Step 5: Solve for x
    x = 897,404.16/1,026.82
  6. Step 6: Final answer
    x = 873.96

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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.