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Finding the Fourth Proportional to 886, 1,222.28 and 536.48

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Solution

The fourth proportional to 886, 1,222.28 and 536.48 is: 740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    886 : 1,222.28 = 536.48 : x
  2. Step 2: Convert to fraction form
    886/1,222.28 = 536.48/x
  3. Step 3: Cross multiply
    886x = 1,222.28 × 536.48
  4. Step 4: Simplify right side
    886x = 655,728.77
  5. Step 5: Solve for x
    x = 655,728.77/886
  6. Step 6: Final answer
    x = 740.10

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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.