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Finding the Fourth Proportional to 1,239.57, 1,858.73 and 459.54

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Solution

The fourth proportional to 1,239.57, 1,858.73 and 459.54 is: 689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.57 : 1,858.73 = 459.54 : x
  2. Step 2: Convert to fraction form
    1,239.57/1,858.73 = 459.54/x
  3. Step 3: Cross multiply
    1,239.57x = 1,858.73 × 459.54
  4. Step 4: Simplify right side
    1,239.57x = 854,158.49
  5. Step 5: Solve for x
    x = 854,158.49/1,239.57
  6. Step 6: Final answer
    x = 689.08

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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.