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Finding the Fourth Proportional to 1,084.66, 1,627.06 and 354.26

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Solution

The fourth proportional to 1,084.66, 1,627.06 and 354.26 is: 531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.66 : 1,627.06 = 354.26 : x
  2. Step 2: Convert to fraction form
    1,084.66/1,627.06 = 354.26/x
  3. Step 3: Cross multiply
    1,084.66x = 1,627.06 × 354.26
  4. Step 4: Simplify right side
    1,084.66x = 576,402.28
  5. Step 5: Solve for x
    x = 576,402.28/1,084.66
  6. Step 6: Final answer
    x = 531.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.