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Finding the Fourth Proportional to 1,172.27, 1,758.19 and 402.77

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Solution

The fourth proportional to 1,172.27, 1,758.19 and 402.77 is: 604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.27 : 1,758.19 = 402.77 : x
  2. Step 2: Convert to fraction form
    1,172.27/1,758.19 = 402.77/x
  3. Step 3: Cross multiply
    1,172.27x = 1,758.19 × 402.77
  4. Step 4: Simplify right side
    1,172.27x = 708,146.19
  5. Step 5: Solve for x
    x = 708,146.19/1,172.27
  6. Step 6: Final answer
    x = 604.08

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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.