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Finding the Fourth Proportional to 1,019.90, 1,531.06 and 609.23

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Solution

The fourth proportional to 1,019.90, 1,531.06 and 609.23 is: 914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.90 : 1,531.06 = 609.23 : x
  2. Step 2: Convert to fraction form
    1,019.90/1,531.06 = 609.23/x
  3. Step 3: Cross multiply
    1,019.90x = 1,531.06 × 609.23
  4. Step 4: Simplify right side
    1,019.90x = 932,767.68
  5. Step 5: Solve for x
    x = 932,767.68/1,019.90
  6. Step 6: Final answer
    x = 914.57

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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.