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Finding the Fourth Proportional to 1,082.06, 1,492.22 and 709.36

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Solution

The fourth proportional to 1,082.06, 1,492.22 and 709.36 is: 978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.06 : 1,492.22 = 709.36 : x
  2. Step 2: Convert to fraction form
    1,082.06/1,492.22 = 709.36/x
  3. Step 3: Cross multiply
    1,082.06x = 1,492.22 × 709.36
  4. Step 4: Simplify right side
    1,082.06x = 1,058,521.18
  5. Step 5: Solve for x
    x = 1,058,521.18/1,082.06
  6. Step 6: Final answer
    x = 978.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.