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Finding the Fourth Proportional to 1,081.69, 1,492.80 and 609.54

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Solution

The fourth proportional to 1,081.69, 1,492.80 and 609.54 is: 841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.69 : 1,492.80 = 609.54 : x
  2. Step 2: Convert to fraction form
    1,081.69/1,492.80 = 609.54/x
  3. Step 3: Cross multiply
    1,081.69x = 1,492.80 × 609.54
  4. Step 4: Simplify right side
    1,081.69x = 909,921.31
  5. Step 5: Solve for x
    x = 909,921.31/1,081.69
  6. Step 6: Final answer
    x = 841.20

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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.