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Finding the Fourth Proportional to 676.61, 935.43 and 594.59

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Solution

The fourth proportional to 676.61, 935.43 and 594.59 is: 822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.61 : 935.43 = 594.59 : x
  2. Step 2: Convert to fraction form
    676.61/935.43 = 594.59/x
  3. Step 3: Cross multiply
    676.61x = 935.43 × 594.59
  4. Step 4: Simplify right side
    676.61x = 556,197.32
  5. Step 5: Solve for x
    x = 556,197.32/676.61
  6. Step 6: Final answer
    x = 822.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.