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Finding the Fourth Proportional to 1,081.40, 1,492.25 and 639.23

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Solution

The fourth proportional to 1,081.40, 1,492.25 and 639.23 is: 882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.40 : 1,492.25 = 639.23 : x
  2. Step 2: Convert to fraction form
    1,081.40/1,492.25 = 639.23/x
  3. Step 3: Cross multiply
    1,081.40x = 1,492.25 × 639.23
  4. Step 4: Simplify right side
    1,081.40x = 953,885.10
  5. Step 5: Solve for x
    x = 953,885.10/1,081.40
  6. Step 6: Final answer
    x = 882.08

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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.