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Finding the Fourth Proportional to 1,118.50, 1,677.44 and 338.50

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Solution

The fourth proportional to 1,118.50, 1,677.44 and 338.50 is: 507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.50 : 1,677.44 = 338.50 : x
  2. Step 2: Convert to fraction form
    1,118.50/1,677.44 = 338.50/x
  3. Step 3: Cross multiply
    1,118.50x = 1,677.44 × 338.50
  4. Step 4: Simplify right side
    1,118.50x = 567,813.44
  5. Step 5: Solve for x
    x = 567,813.44/1,118.50
  6. Step 6: Final answer
    x = 507.66

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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.