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Finding the Fourth Proportional to 890.46, 1,333.26 and 581.58

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Solution

The fourth proportional to 890.46, 1,333.26 and 581.58 is: 870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.46 : 1,333.26 = 581.58 : x
  2. Step 2: Convert to fraction form
    890.46/1,333.26 = 581.58/x
  3. Step 3: Cross multiply
    890.46x = 1,333.26 × 581.58
  4. Step 4: Simplify right side
    890.46x = 775,397.35
  5. Step 5: Solve for x
    x = 775,397.35/890.46
  6. Step 6: Final answer
    x = 870.78

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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.