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Finding the Fourth Proportional to 677.04, 1,014.38 and 638.04

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Solution

The fourth proportional to 677.04, 1,014.38 and 638.04 is: 955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.04 : 1,014.38 = 638.04 : x
  2. Step 2: Convert to fraction form
    677.04/1,014.38 = 638.04/x
  3. Step 3: Cross multiply
    677.04x = 1,014.38 × 638.04
  4. Step 4: Simplify right side
    677.04x = 647,215.02
  5. Step 5: Solve for x
    x = 647,215.02/677.04
  6. Step 6: Final answer
    x = 955.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.