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Finding the Fourth Proportional to 885.42, 1,222.44 and 570.81

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Solution

The fourth proportional to 885.42, 1,222.44 and 570.81 is: 788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.42 : 1,222.44 = 570.81 : x
  2. Step 2: Convert to fraction form
    885.42/1,222.44 = 570.81/x
  3. Step 3: Cross multiply
    885.42x = 1,222.44 × 570.81
  4. Step 4: Simplify right side
    885.42x = 697,780.98
  5. Step 5: Solve for x
    x = 697,780.98/885.42
  6. Step 6: Final answer
    x = 788.08

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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.