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Finding the Fourth Proportional to 1,177.14, 1,620.75 and 999.72

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Solution

The fourth proportional to 1,177.14, 1,620.75 and 999.72 is: 1,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.14 : 1,620.75 = 999.72 : x
  2. Step 2: Convert to fraction form
    1,177.14/1,620.75 = 999.72/x
  3. Step 3: Cross multiply
    1,177.14x = 1,620.75 × 999.72
  4. Step 4: Simplify right side
    1,177.14x = 1,620,296.19
  5. Step 5: Solve for x
    x = 1,620,296.19/1,177.14
  6. Step 6: Final answer
    x = 1,376.47

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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.