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Finding the Fourth Proportional to 885.95, 1,222.61 and 493.05

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Solution

The fourth proportional to 885.95, 1,222.61 and 493.05 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.95 : 1,222.61 = 493.05 : x
  2. Step 2: Convert to fraction form
    885.95/1,222.61 = 493.05/x
  3. Step 3: Cross multiply
    885.95x = 1,222.61 × 493.05
  4. Step 4: Simplify right side
    885.95x = 602,805.40
  5. Step 5: Solve for x
    x = 602,805.40/885.95
  6. Step 6: Final answer
    x = 680.41

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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.