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Finding the Fourth Proportional to 1,126.53, 1,554.36 and 654.15

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Solution

The fourth proportional to 1,126.53, 1,554.36 and 654.15 is: 902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.53 : 1,554.36 = 654.15 : x
  2. Step 2: Convert to fraction form
    1,126.53/1,554.36 = 654.15/x
  3. Step 3: Cross multiply
    1,126.53x = 1,554.36 × 654.15
  4. Step 4: Simplify right side
    1,126.53x = 1,016,784.59
  5. Step 5: Solve for x
    x = 1,016,784.59/1,126.53
  6. Step 6: Final answer
    x = 902.58

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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.