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Finding the Fourth Proportional to 1,119.59, 1,677.07 and 655.96

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Solution

The fourth proportional to 1,119.59, 1,677.07 and 655.96 is: 982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.59 : 1,677.07 = 655.96 : x
  2. Step 2: Convert to fraction form
    1,119.59/1,677.07 = 655.96/x
  3. Step 3: Cross multiply
    1,119.59x = 1,677.07 × 655.96
  4. Step 4: Simplify right side
    1,119.59x = 1,100,081.86
  5. Step 5: Solve for x
    x = 1,100,081.86/1,119.59
  6. Step 6: Final answer
    x = 982.58

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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.