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Finding the Fourth Proportional to 663.80, 915.54 and 594.68

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Solution

The fourth proportional to 663.80, 915.54 and 594.68 is: 820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.80 : 915.54 = 594.68 : x
  2. Step 2: Convert to fraction form
    663.80/915.54 = 594.68/x
  3. Step 3: Cross multiply
    663.80x = 915.54 × 594.68
  4. Step 4: Simplify right side
    663.80x = 544,453.33
  5. Step 5: Solve for x
    x = 544,453.33/663.80
  6. Step 6: Final answer
    x = 820.21

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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.