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Finding the Fourth Proportional to 792.60, 1,093.12 and 595.77

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Solution

The fourth proportional to 792.60, 1,093.12 and 595.77 is: 821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.60 : 1,093.12 = 595.77 : x
  2. Step 2: Convert to fraction form
    792.60/1,093.12 = 595.77/x
  3. Step 3: Cross multiply
    792.60x = 1,093.12 × 595.77
  4. Step 4: Simplify right side
    792.60x = 651,248.10
  5. Step 5: Solve for x
    x = 651,248.10/792.60
  6. Step 6: Final answer
    x = 821.66

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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.