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Finding the Fourth Proportional to 1,067.04, 1,472.40 and 624.72

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Solution

The fourth proportional to 1,067.04, 1,472.40 and 624.72 is: 862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.04 : 1,472.40 = 624.72 : x
  2. Step 2: Convert to fraction form
    1,067.04/1,472.40 = 624.72/x
  3. Step 3: Cross multiply
    1,067.04x = 1,472.40 × 624.72
  4. Step 4: Simplify right side
    1,067.04x = 919,837.73
  5. Step 5: Solve for x
    x = 919,837.73/1,067.04
  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.