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Finding the Fourth Proportional to 1,113.23, 1,536.37 and 616.03

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Solution

The fourth proportional to 1,113.23, 1,536.37 and 616.03 is: 850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.23 : 1,536.37 = 616.03 : x
  2. Step 2: Convert to fraction form
    1,113.23/1,536.37 = 616.03/x
  3. Step 3: Cross multiply
    1,113.23x = 1,536.37 × 616.03
  4. Step 4: Simplify right side
    1,113.23x = 946,453.81
  5. Step 5: Solve for x
    x = 946,453.81/1,113.23
  6. Step 6: Final answer
    x = 850.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.