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Finding the Fourth Proportional to 890.45, 1,228.95 and 517.64

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Solution

The fourth proportional to 890.45, 1,228.95 and 517.64 is: 714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.45 : 1,228.95 = 517.64 : x
  2. Step 2: Convert to fraction form
    890.45/1,228.95 = 517.64/x
  3. Step 3: Cross multiply
    890.45x = 1,228.95 × 517.64
  4. Step 4: Simplify right side
    890.45x = 636,147.53
  5. Step 5: Solve for x
    x = 636,147.53/890.45
  6. Step 6: Final answer
    x = 714.42

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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.