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Finding the Fourth Proportional to 1,110.44, 1,532.49 and 613.13

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Solution

The fourth proportional to 1,110.44, 1,532.49 and 613.13 is: 846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.44 : 1,532.49 = 613.13 : x
  2. Step 2: Convert to fraction form
    1,110.44/1,532.49 = 613.13/x
  3. Step 3: Cross multiply
    1,110.44x = 1,532.49 × 613.13
  4. Step 4: Simplify right side
    1,110.44x = 939,607.93
  5. Step 5: Solve for x
    x = 939,607.93/1,110.44
  6. Step 6: Final answer
    x = 846.16

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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.