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Finding the Fourth Proportional to 890.79, 1,228.94 and 517.70

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Solution

The fourth proportional to 890.79, 1,228.94 and 517.70 is: 714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.79 : 1,228.94 = 517.70 : x
  2. Step 2: Convert to fraction form
    890.79/1,228.94 = 517.70/x
  3. Step 3: Cross multiply
    890.79x = 1,228.94 × 517.70
  4. Step 4: Simplify right side
    890.79x = 636,216.58
  5. Step 5: Solve for x
    x = 636,216.58/890.79
  6. Step 6: Final answer
    x = 714.22

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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.