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Finding the Fourth Proportional to 890.02, 1,228.24 and 517.02

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Solution

The fourth proportional to 890.02, 1,228.24 and 517.02 is: 713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.02 : 1,228.24 = 517.02 : x
  2. Step 2: Convert to fraction form
    890.02/1,228.24 = 517.02/x
  3. Step 3: Cross multiply
    890.02x = 1,228.24 × 517.02
  4. Step 4: Simplify right side
    890.02x = 635,024.64
  5. Step 5: Solve for x
    x = 635,024.64/890.02
  6. Step 6: Final answer
    x = 713.49

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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.