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Finding the Fourth Proportional to 890.48, 1,228.96 and 517.36

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Solution

The fourth proportional to 890.48, 1,228.96 and 517.36 is: 714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.48 : 1,228.96 = 517.36 : x
  2. Step 2: Convert to fraction form
    890.48/1,228.96 = 517.36/x
  3. Step 3: Cross multiply
    890.48x = 1,228.96 × 517.36
  4. Step 4: Simplify right side
    890.48x = 635,814.75
  5. Step 5: Solve for x
    x = 635,814.75/890.48
  6. Step 6: Final answer
    x = 714.01

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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.