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Finding the Fourth Proportional to 1,081.62, 1,492.54 and 609.36

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Solution

The fourth proportional to 1,081.62, 1,492.54 and 609.36 is: 840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.62 : 1,492.54 = 609.36 : x
  2. Step 2: Convert to fraction form
    1,081.62/1,492.54 = 609.36/x
  3. Step 3: Cross multiply
    1,081.62x = 1,492.54 × 609.36
  4. Step 4: Simplify right side
    1,081.62x = 909,498.88
  5. Step 5: Solve for x
    x = 909,498.88/1,081.62
  6. Step 6: Final answer
    x = 840.87

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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.