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Finding the Fourth Proportional to 890.26, 1,335.22 and 524.62

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Solution

The fourth proportional to 890.26, 1,335.22 and 524.62 is: 786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.26 : 1,335.22 = 524.62 : x
  2. Step 2: Convert to fraction form
    890.26/1,335.22 = 524.62/x
  3. Step 3: Cross multiply
    890.26x = 1,335.22 × 524.62
  4. Step 4: Simplify right side
    890.26x = 700,483.12
  5. Step 5: Solve for x
    x = 700,483.12/890.26
  6. Step 6: Final answer
    x = 786.83

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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.