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Finding the Fourth Proportional to 1,127.46, 1,556.01 and 708.13

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Solution

The fourth proportional to 1,127.46, 1,556.01 and 708.13 is: 977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.46 : 1,556.01 = 708.13 : x
  2. Step 2: Convert to fraction form
    1,127.46/1,556.01 = 708.13/x
  3. Step 3: Cross multiply
    1,127.46x = 1,556.01 × 708.13
  4. Step 4: Simplify right side
    1,127.46x = 1,101,846.04
  5. Step 5: Solve for x
    x = 1,101,846.04/1,127.46
  6. Step 6: Final answer
    x = 977.28

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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.