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Finding the Fourth Proportional to 1,203.42, 1,804.89 and 412.81

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Solution

The fourth proportional to 1,203.42, 1,804.89 and 412.81 is: 619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.42 : 1,804.89 = 412.81 : x
  2. Step 2: Convert to fraction form
    1,203.42/1,804.89 = 412.81/x
  3. Step 3: Cross multiply
    1,203.42x = 1,804.89 × 412.81
  4. Step 4: Simplify right side
    1,203.42x = 745,076.64
  5. Step 5: Solve for x
    x = 745,076.64/1,203.42
  6. Step 6: Final answer
    x = 619.13

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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.