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Finding the Fourth Proportional to 890.12, 1,335.46 and 428.16

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Solution

The fourth proportional to 890.12, 1,335.46 and 428.16 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.12 : 1,335.46 = 428.16 : x
  2. Step 2: Convert to fraction form
    890.12/1,335.46 = 428.16/x
  3. Step 3: Cross multiply
    890.12x = 1,335.46 × 428.16
  4. Step 4: Simplify right side
    890.12x = 571,790.55
  5. Step 5: Solve for x
    x = 571,790.55/890.12
  6. Step 6: Final answer
    x = 642.37

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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.