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Finding the Fourth Proportional to 1,176.38, 1,764.62 and 655.98

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Solution

The fourth proportional to 1,176.38, 1,764.62 and 655.98 is: 984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.38 : 1,764.62 = 655.98 : x
  2. Step 2: Convert to fraction form
    1,176.38/1,764.62 = 655.98/x
  3. Step 3: Cross multiply
    1,176.38x = 1,764.62 × 655.98
  4. Step 4: Simplify right side
    1,176.38x = 1,157,552.15
  5. Step 5: Solve for x
    x = 1,157,552.15/1,176.38
  6. Step 6: Final answer
    x = 984.00

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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.