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Finding the Fourth Proportional to 886.23, 1,223.04 and 493.25

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Solution

The fourth proportional to 886.23, 1,223.04 and 493.25 is: 680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.23 : 1,223.04 = 493.25 : x
  2. Step 2: Convert to fraction form
    886.23/1,223.04 = 493.25/x
  3. Step 3: Cross multiply
    886.23x = 1,223.04 × 493.25
  4. Step 4: Simplify right side
    886.23x = 603,264.48
  5. Step 5: Solve for x
    x = 603,264.48/886.23
  6. Step 6: Final answer
    x = 680.71

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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.