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Finding the Fourth Proportional to 890.22, 1,228.51 and 517.42

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Solution

The fourth proportional to 890.22, 1,228.51 and 517.42 is: 714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.22 : 1,228.51 = 517.42 : x
  2. Step 2: Convert to fraction form
    890.22/1,228.51 = 517.42/x
  3. Step 3: Cross multiply
    890.22x = 1,228.51 × 517.42
  4. Step 4: Simplify right side
    890.22x = 635,646.91
  5. Step 5: Solve for x
    x = 635,646.91/890.22
  6. Step 6: Final answer
    x = 714.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.