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Finding the Fourth Proportional to 1,172.39, 1,757.54 and 556.27

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Solution

The fourth proportional to 1,172.39, 1,757.54 and 556.27 is: 833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.39 : 1,757.54 = 556.27 : x
  2. Step 2: Convert to fraction form
    1,172.39/1,757.54 = 556.27/x
  3. Step 3: Cross multiply
    1,172.39x = 1,757.54 × 556.27
  4. Step 4: Simplify right side
    1,172.39x = 977,663.77
  5. Step 5: Solve for x
    x = 977,663.77/1,172.39
  6. Step 6: Final answer
    x = 833.91

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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.