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Finding the Fourth Proportional to 886.93, 1,224.29 and 762.09

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Solution

The fourth proportional to 886.93, 1,224.29 and 762.09 is: 1,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.93 : 1,224.29 = 762.09 : x
  2. Step 2: Convert to fraction form
    886.93/1,224.29 = 762.09/x
  3. Step 3: Cross multiply
    886.93x = 1,224.29 × 762.09
  4. Step 4: Simplify right side
    886.93x = 933,019.17
  5. Step 5: Solve for x
    x = 933,019.17/886.93
  6. Step 6: Final answer
    x = 1,051.96

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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.