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Finding the Fourth Proportional to 1,239.33, 1,858.53 and 406.20

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Solution

The fourth proportional to 1,239.33, 1,858.53 and 406.20 is: 609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.33 : 1,858.53 = 406.20 : x
  2. Step 2: Convert to fraction form
    1,239.33/1,858.53 = 406.20/x
  3. Step 3: Cross multiply
    1,239.33x = 1,858.53 × 406.20
  4. Step 4: Simplify right side
    1,239.33x = 754,943.38
  5. Step 5: Solve for x
    x = 754,943.38/1,239.33
  6. Step 6: Final answer
    x = 609.15

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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.