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Finding the Fourth Proportional to 1,177.15, 1,620.77 and 999.74

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Solution

The fourth proportional to 1,177.15, 1,620.77 and 999.74 is: 1,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.15 : 1,620.77 = 999.74 : x
  2. Step 2: Convert to fraction form
    1,177.15/1,620.77 = 999.74/x
  3. Step 3: Cross multiply
    1,177.15x = 1,620.77 × 999.74
  4. Step 4: Simplify right side
    1,177.15x = 1,620,344.43
  5. Step 5: Solve for x
    x = 1,620,344.43/1,177.15
  6. Step 6: Final answer
    x = 1,376.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.