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Finding the Fourth Proportional to 885.96, 1,222.74 and 536.76

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Solution

The fourth proportional to 885.96, 1,222.74 and 536.76 is: 740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.96 : 1,222.74 = 536.76 : x
  2. Step 2: Convert to fraction form
    885.96/1,222.74 = 536.76/x
  3. Step 3: Cross multiply
    885.96x = 1,222.74 × 536.76
  4. Step 4: Simplify right side
    885.96x = 656,317.92
  5. Step 5: Solve for x
    x = 656,317.92/885.96
  6. Step 6: Final answer
    x = 740.80

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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.