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Finding the Fourth Proportional to 1,118.41, 1,677.74 and 425.59

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Solution

The fourth proportional to 1,118.41, 1,677.74 and 425.59 is: 638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.41 : 1,677.74 = 425.59 : x
  2. Step 2: Convert to fraction form
    1,118.41/1,677.74 = 425.59/x
  3. Step 3: Cross multiply
    1,118.41x = 1,677.74 × 425.59
  4. Step 4: Simplify right side
    1,118.41x = 714,029.37
  5. Step 5: Solve for x
    x = 714,029.37/1,118.41
  6. Step 6: Final answer
    x = 638.43

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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.