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Finding the Fourth Proportional to 889.16, 1,225.86 and 593.90

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Solution

The fourth proportional to 889.16, 1,225.86 and 593.90 is: 818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.16 : 1,225.86 = 593.90 : x
  2. Step 2: Convert to fraction form
    889.16/1,225.86 = 593.90/x
  3. Step 3: Cross multiply
    889.16x = 1,225.86 × 593.90
  4. Step 4: Simplify right side
    889.16x = 728,038.25
  5. Step 5: Solve for x
    x = 728,038.25/889.16
  6. Step 6: Final answer
    x = 818.79

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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.