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Finding the Fourth Proportional to 889.16, 1,227.08 and 496.18

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Solution

The fourth proportional to 889.16, 1,227.08 and 496.18 is: 684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.16 : 1,227.08 = 496.18 : x
  2. Step 2: Convert to fraction form
    889.16/1,227.08 = 496.18/x
  3. Step 3: Cross multiply
    889.16x = 1,227.08 × 496.18
  4. Step 4: Simplify right side
    889.16x = 608,852.55
  5. Step 5: Solve for x
    x = 608,852.55/889.16
  6. Step 6: Final answer
    x = 684.75

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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.