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Finding the Fourth Proportional to 1,204.42, 1,806.63 and 424.45

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Solution

The fourth proportional to 1,204.42, 1,806.63 and 424.45 is: 636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.42 : 1,806.63 = 424.45 : x
  2. Step 2: Convert to fraction form
    1,204.42/1,806.63 = 424.45/x
  3. Step 3: Cross multiply
    1,204.42x = 1,806.63 × 424.45
  4. Step 4: Simplify right side
    1,204.42x = 766,824.10
  5. Step 5: Solve for x
    x = 766,824.10/1,204.42
  6. Step 6: Final answer
    x = 636.68

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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.