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Finding the Fourth Proportional to 897.34, 1,344.36 and 485.86

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Solution

The fourth proportional to 897.34, 1,344.36 and 485.86 is: 727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.34 : 1,344.36 = 485.86 : x
  2. Step 2: Convert to fraction form
    897.34/1,344.36 = 485.86/x
  3. Step 3: Cross multiply
    897.34x = 1,344.36 × 485.86
  4. Step 4: Simplify right side
    897.34x = 653,170.75
  5. Step 5: Solve for x
    x = 653,170.75/897.34
  6. Step 6: Final answer
    x = 727.90

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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.