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Finding the Fourth Proportional to 676.53, 934.16 and 594.63

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Solution

The fourth proportional to 676.53, 934.16 and 594.63 is: 821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.53 : 934.16 = 594.63 : x
  2. Step 2: Convert to fraction form
    676.53/934.16 = 594.63/x
  3. Step 3: Cross multiply
    676.53x = 934.16 × 594.63
  4. Step 4: Simplify right side
    676.53x = 555,476.59
  5. Step 5: Solve for x
    x = 555,476.59/676.53
  6. Step 6: Final answer
    x = 821.07

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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.