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Finding the Fourth Proportional to 663.61, 915.99 and 593.54

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Solution

The fourth proportional to 663.61, 915.99 and 593.54 is: 819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.61 : 915.99 = 593.54 : x
  2. Step 2: Convert to fraction form
    663.61/915.99 = 593.54/x
  3. Step 3: Cross multiply
    663.61x = 915.99 × 593.54
  4. Step 4: Simplify right side
    663.61x = 543,681.82
  5. Step 5: Solve for x
    x = 543,681.82/663.61
  6. Step 6: Final answer
    x = 819.28

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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.