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Finding the Fourth Proportional to 886.34, 1,222.97 and 493.26

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Solution

The fourth proportional to 886.34, 1,222.97 and 493.26 is: 680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.34 : 1,222.97 = 493.26 : x
  2. Step 2: Convert to fraction form
    886.34/1,222.97 = 493.26/x
  3. Step 3: Cross multiply
    886.34x = 1,222.97 × 493.26
  4. Step 4: Simplify right side
    886.34x = 603,239.72
  5. Step 5: Solve for x
    x = 603,239.72/886.34
  6. Step 6: Final answer
    x = 680.60

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1.5x scale

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.