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Finding the Fourth Proportional to 1,118.56, 1,677.97 and 425.75

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Solution

The fourth proportional to 1,118.56, 1,677.97 and 425.75 is: 638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.56 : 1,677.97 = 425.75 : x
  2. Step 2: Convert to fraction form
    1,118.56/1,677.97 = 425.75/x
  3. Step 3: Cross multiply
    1,118.56x = 1,677.97 × 425.75
  4. Step 4: Simplify right side
    1,118.56x = 714,395.73
  5. Step 5: Solve for x
    x = 714,395.73/1,118.56
  6. Step 6: Final answer
    x = 638.67

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Why These Related Problems?

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