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Finding the Fourth Proportional to 1,126.10, 1,554.19 and 654.21

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Solution

The fourth proportional to 1,126.10, 1,554.19 and 654.21 is: 902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.10 : 1,554.19 = 654.21 : x
  2. Step 2: Convert to fraction form
    1,126.10/1,554.19 = 654.21/x
  3. Step 3: Cross multiply
    1,126.10x = 1,554.19 × 654.21
  4. Step 4: Simplify right side
    1,126.10x = 1,016,765.00
  5. Step 5: Solve for x
    x = 1,016,765.00/1,126.10
  6. Step 6: Final answer
    x = 902.91

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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.