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Finding the Fourth Proportional to 835.82, 1,153.17 and 486.44

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Solution

The fourth proportional to 835.82, 1,153.17 and 486.44 is: 671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.82 : 1,153.17 = 486.44 : x
  2. Step 2: Convert to fraction form
    835.82/1,153.17 = 486.44/x
  3. Step 3: Cross multiply
    835.82x = 1,153.17 × 486.44
  4. Step 4: Simplify right side
    835.82x = 560,948.01
  5. Step 5: Solve for x
    x = 560,948.01/835.82
  6. Step 6: Final answer
    x = 671.13

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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.