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Finding the Fourth Proportional to 1,126.08, 1,554.11 and 960.24

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Solution

The fourth proportional to 1,126.08, 1,554.11 and 960.24 is: 1,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.08 : 1,554.11 = 960.24 : x
  2. Step 2: Convert to fraction form
    1,126.08/1,554.11 = 960.24/x
  3. Step 3: Cross multiply
    1,126.08x = 1,554.11 × 960.24
  4. Step 4: Simplify right side
    1,126.08x = 1,492,313.79
  5. Step 5: Solve for x
    x = 1,492,313.79/1,126.08
  6. Step 6: Final answer
    x = 1,325.23

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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.