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Finding the Fourth Proportional to 792.25, 1,092.90 and 595.69

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Solution

The fourth proportional to 792.25, 1,092.90 and 595.69 is: 821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.25 : 1,092.90 = 595.69 : x
  2. Step 2: Convert to fraction form
    792.25/1,092.90 = 595.69/x
  3. Step 3: Cross multiply
    792.25x = 1,092.90 × 595.69
  4. Step 4: Simplify right side
    792.25x = 651,029.60
  5. Step 5: Solve for x
    x = 651,029.60/792.25
  6. Step 6: Final answer
    x = 821.75

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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.