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Finding the Fourth Proportional to 1,127.58, 1,554.18 and 754.42

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Solution

The fourth proportional to 1,127.58, 1,554.18 and 754.42 is: 1,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.58 : 1,554.18 = 754.42 : x
  2. Step 2: Convert to fraction form
    1,127.58/1,554.18 = 754.42/x
  3. Step 3: Cross multiply
    1,127.58x = 1,554.18 × 754.42
  4. Step 4: Simplify right side
    1,127.58x = 1,172,504.48
  5. Step 5: Solve for x
    x = 1,172,504.48/1,127.58
  6. Step 6: Final answer
    x = 1,039.84

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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.