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Finding the Fourth Proportional to 896.06, 1,236.29 and 581.74

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Solution

The fourth proportional to 896.06, 1,236.29 and 581.74 is: 802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.06 : 1,236.29 = 581.74 : x
  2. Step 2: Convert to fraction form
    896.06/1,236.29 = 581.74/x
  3. Step 3: Cross multiply
    896.06x = 1,236.29 × 581.74
  4. Step 4: Simplify right side
    896.06x = 719,193.35
  5. Step 5: Solve for x
    x = 719,193.35/896.06
  6. Step 6: Final answer
    x = 802.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.