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Finding the Fourth Proportional to 792.93, 1,094.54 and 596.10

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Solution

The fourth proportional to 792.93, 1,094.54 and 596.10 is: 822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.93 : 1,094.54 = 596.10 : x
  2. Step 2: Convert to fraction form
    792.93/1,094.54 = 596.10/x
  3. Step 3: Cross multiply
    792.93x = 1,094.54 × 596.10
  4. Step 4: Simplify right side
    792.93x = 652,452.31
  5. Step 5: Solve for x
    x = 652,452.31/792.93
  6. Step 6: Final answer
    x = 822.84

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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.