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Finding the Fourth Proportional to 1,203.42, 1,806.17 and 857.60

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Solution

The fourth proportional to 1,203.42, 1,806.17 and 857.60 is: 1,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.42 : 1,806.17 = 857.60 : x
  2. Step 2: Convert to fraction form
    1,203.42/1,806.17 = 857.60/x
  3. Step 3: Cross multiply
    1,203.42x = 1,806.17 × 857.60
  4. Step 4: Simplify right side
    1,203.42x = 1,548,975.01
  5. Step 5: Solve for x
    x = 1,548,975.01/1,203.42
  6. Step 6: Final answer
    x = 1,287.14

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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.