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Finding the Fourth Proportional to 1,127.82, 1,556.23 and 661.98

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Solution

The fourth proportional to 1,127.82, 1,556.23 and 661.98 is: 913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.82 : 1,556.23 = 661.98 : x
  2. Step 2: Convert to fraction form
    1,127.82/1,556.23 = 661.98/x
  3. Step 3: Cross multiply
    1,127.82x = 1,556.23 × 661.98
  4. Step 4: Simplify right side
    1,127.82x = 1,030,193.14
  5. Step 5: Solve for x
    x = 1,030,193.14/1,127.82
  6. Step 6: Final answer
    x = 913.44

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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.