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Finding the Fourth Proportional to 593.56, 889.08 and 548.20

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Solution

The fourth proportional to 593.56, 889.08 and 548.20 is: 821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.56 : 889.08 = 548.20 : x
  2. Step 2: Convert to fraction form
    593.56/889.08 = 548.20/x
  3. Step 3: Cross multiply
    593.56x = 889.08 × 548.20
  4. Step 4: Simplify right side
    593.56x = 487,393.66
  5. Step 5: Solve for x
    x = 487,393.66/593.56
  6. Step 6: Final answer
    x = 821.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.