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Finding the Fourth Proportional to 1,027.17, 1,416.96 and 633.51

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Solution

The fourth proportional to 1,027.17, 1,416.96 and 633.51 is: 873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.17 : 1,416.96 = 633.51 : x
  2. Step 2: Convert to fraction form
    1,027.17/1,416.96 = 633.51/x
  3. Step 3: Cross multiply
    1,027.17x = 1,416.96 × 633.51
  4. Step 4: Simplify right side
    1,027.17x = 897,658.33
  5. Step 5: Solve for x
    x = 897,658.33/1,027.17
  6. Step 6: Final answer
    x = 873.91

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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.