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Finding the Fourth Proportional to 886.82, 1,223.80 and 493.84

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Solution

The fourth proportional to 886.82, 1,223.80 and 493.84 is: 681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.82 : 1,223.80 = 493.84 : x
  2. Step 2: Convert to fraction form
    886.82/1,223.80 = 493.84/x
  3. Step 3: Cross multiply
    886.82x = 1,223.80 × 493.84
  4. Step 4: Simplify right side
    886.82x = 604,361.39
  5. Step 5: Solve for x
    x = 604,361.39/886.82
  6. Step 6: Final answer
    x = 681.49

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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.