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Finding the Fourth Proportional to 1,067.13, 1,472.18 and 624.87

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Solution

The fourth proportional to 1,067.13, 1,472.18 and 624.87 is: 862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.13 : 1,472.18 = 624.87 : x
  2. Step 2: Convert to fraction form
    1,067.13/1,472.18 = 624.87/x
  3. Step 3: Cross multiply
    1,067.13x = 1,472.18 × 624.87
  4. Step 4: Simplify right side
    1,067.13x = 919,917.99
  5. Step 5: Solve for x
    x = 919,917.99/1,067.13
  6. Step 6: Final answer
    x = 862.05

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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.