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Finding the Fourth Proportional to 890.12, 1,334.62 and 403.40

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Solution

The fourth proportional to 890.12, 1,334.62 and 403.40 is: 604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.12 : 1,334.62 = 403.40 : x
  2. Step 2: Convert to fraction form
    890.12/1,334.62 = 403.40/x
  3. Step 3: Cross multiply
    890.12x = 1,334.62 × 403.40
  4. Step 4: Simplify right side
    890.12x = 538,385.71
  5. Step 5: Solve for x
    x = 538,385.71/890.12
  6. Step 6: Final answer
    x = 604.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.