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Finding the Fourth Proportional to 889.08, 1,226.91 and 496.14

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Solution

The fourth proportional to 889.08, 1,226.91 and 496.14 is: 684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.08 : 1,226.91 = 496.14 : x
  2. Step 2: Convert to fraction form
    889.08/1,226.91 = 496.14/x
  3. Step 3: Cross multiply
    889.08x = 1,226.91 × 496.14
  4. Step 4: Simplify right side
    889.08x = 608,719.13
  5. Step 5: Solve for x
    x = 608,719.13/889.08
  6. Step 6: Final answer
    x = 684.66

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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.