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Finding the Fourth Proportional to 1,127.77, 1,556.41 and 655.81

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Solution

The fourth proportional to 1,127.77, 1,556.41 and 655.81 is: 905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.77 : 1,556.41 = 655.81 : x
  2. Step 2: Convert to fraction form
    1,127.77/1,556.41 = 655.81/x
  3. Step 3: Cross multiply
    1,127.77x = 1,556.41 × 655.81
  4. Step 4: Simplify right side
    1,127.77x = 1,020,709.24
  5. Step 5: Solve for x
    x = 1,020,709.24/1,127.77
  6. Step 6: Final answer
    x = 905.07

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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.