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Finding the Fourth Proportional to 1,029.54, 1,419.87 and 636.42

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Solution

The fourth proportional to 1,029.54, 1,419.87 and 636.42 is: 877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.54 : 1,419.87 = 636.42 : x
  2. Step 2: Convert to fraction form
    1,029.54/1,419.87 = 636.42/x
  3. Step 3: Cross multiply
    1,029.54x = 1,419.87 × 636.42
  4. Step 4: Simplify right side
    1,029.54x = 903,633.67
  5. Step 5: Solve for x
    x = 903,633.67/1,029.54
  6. Step 6: Final answer
    x = 877.71

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