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Finding the Fourth Proportional to 1,109.68, 1,531.45 and 612.37

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Solution

The fourth proportional to 1,109.68, 1,531.45 and 612.37 is: 845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.68 : 1,531.45 = 612.37 : x
  2. Step 2: Convert to fraction form
    1,109.68/1,531.45 = 612.37/x
  3. Step 3: Cross multiply
    1,109.68x = 1,531.45 × 612.37
  4. Step 4: Simplify right side
    1,109.68x = 937,814.04
  5. Step 5: Solve for x
    x = 937,814.04/1,109.68
  6. Step 6: Final answer
    x = 845.12

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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.