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Finding the Fourth Proportional to 1,118.20, 1,677.99 and 706.77

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Solution

The fourth proportional to 1,118.20, 1,677.99 and 706.77 is: 1,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.20 : 1,677.99 = 706.77 : x
  2. Step 2: Convert to fraction form
    1,118.20/1,677.99 = 706.77/x
  3. Step 3: Cross multiply
    1,118.20x = 1,677.99 × 706.77
  4. Step 4: Simplify right side
    1,118.20x = 1,185,954.54
  5. Step 5: Solve for x
    x = 1,185,954.54/1,118.20
  6. Step 6: Final answer
    x = 1,060.59

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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.