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Finding the Fourth Proportional to 889.11, 1,226.92 and 496.16

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Solution

The fourth proportional to 889.11, 1,226.92 and 496.16 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.11 : 1,226.92 = 496.16 : x
  2. Step 2: Convert to fraction form
    889.11/1,226.92 = 496.16/x
  3. Step 3: Cross multiply
    889.11x = 1,226.92 × 496.16
  4. Step 4: Simplify right side
    889.11x = 608,748.63
  5. Step 5: Solve for x
    x = 608,748.63/889.11
  6. Step 6: Final answer
    x = 684.67

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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.