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Finding the Fourth Proportional to 1,026.33, 1,416.69 and 633.39

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Solution

The fourth proportional to 1,026.33, 1,416.69 and 633.39 is: 874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.33 : 1,416.69 = 633.39 : x
  2. Step 2: Convert to fraction form
    1,026.33/1,416.69 = 633.39/x
  3. Step 3: Cross multiply
    1,026.33x = 1,416.69 × 633.39
  4. Step 4: Simplify right side
    1,026.33x = 897,317.28
  5. Step 5: Solve for x
    x = 897,317.28/1,026.33
  6. Step 6: Final answer
    x = 874.30

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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.