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Finding the Fourth Proportional to 890.46, 1,335.96 and 524.48

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Solution

The fourth proportional to 890.46, 1,335.96 and 524.48 is: 786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.46 : 1,335.96 = 524.48 : x
  2. Step 2: Convert to fraction form
    890.46/1,335.96 = 524.48/x
  3. Step 3: Cross multiply
    890.46x = 1,335.96 × 524.48
  4. Step 4: Simplify right side
    890.46x = 700,677.62
  5. Step 5: Solve for x
    x = 700,677.62/890.46
  6. Step 6: Final answer
    x = 786.87

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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.