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Finding the Fourth Proportional to 885.84, 1,222.40 and 554.25

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Solution

The fourth proportional to 885.84, 1,222.40 and 554.25 is: 764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.84 : 1,222.40 = 554.25 : x
  2. Step 2: Convert to fraction form
    885.84/1,222.40 = 554.25/x
  3. Step 3: Cross multiply
    885.84x = 1,222.40 × 554.25
  4. Step 4: Simplify right side
    885.84x = 677,515.20
  5. Step 5: Solve for x
    x = 677,515.20/885.84
  6. Step 6: Final answer
    x = 764.83

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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.