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Finding the Fourth Proportional to 1,081.49, 1,492.54 and 609.47

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Solution

The fourth proportional to 1,081.49, 1,492.54 and 609.47 is: 841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.49 : 1,492.54 = 609.47 : x
  2. Step 2: Convert to fraction form
    1,081.49/1,492.54 = 609.47/x
  3. Step 3: Cross multiply
    1,081.49x = 1,492.54 × 609.47
  4. Step 4: Simplify right side
    1,081.49x = 909,649.37
  5. Step 5: Solve for x
    x = 909,649.37/1,081.49
  6. Step 6: Final answer
    x = 841.11

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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.