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Finding the Fourth Proportional to 1,118.84, 1,677.92 and 774.39

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Solution

The fourth proportional to 1,118.84, 1,677.92 and 774.39 is: 1,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.84 : 1,677.92 = 774.39 : x
  2. Step 2: Convert to fraction form
    1,118.84/1,677.92 = 774.39/x
  3. Step 3: Cross multiply
    1,118.84x = 1,677.92 × 774.39
  4. Step 4: Simplify right side
    1,118.84x = 1,299,360.60
  5. Step 5: Solve for x
    x = 1,299,360.60/1,118.84
  6. Step 6: Final answer
    x = 1,161.35

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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.