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Finding the Fourth Proportional to 1,109.90, 1,531.49 and 612.47

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Solution

The fourth proportional to 1,109.90, 1,531.49 and 612.47 is: 845.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.90 : 1,531.49 = 612.47 : x
  2. Step 2: Convert to fraction form
    1,109.90/1,531.49 = 612.47/x
  3. Step 3: Cross multiply
    1,109.90x = 1,531.49 × 612.47
  4. Step 4: Simplify right side
    1,109.90x = 937,988.62
  5. Step 5: Solve for x
    x = 937,988.62/1,109.90
  6. Step 6: Final answer
    x = 845.11

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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.