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Finding the Fourth Proportional to 676.09, 933.47 and 596.80

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Solution

The fourth proportional to 676.09, 933.47 and 596.80 is: 824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.09 : 933.47 = 596.80 : x
  2. Step 2: Convert to fraction form
    676.09/933.47 = 596.80/x
  3. Step 3: Cross multiply
    676.09x = 933.47 × 596.80
  4. Step 4: Simplify right side
    676.09x = 557,094.90
  5. Step 5: Solve for x
    x = 557,094.90/676.09
  6. Step 6: Final answer
    x = 824.00

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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.