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Finding the Fourth Proportional to 1,239.56, 1,859.34 and 470.06

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Solution

The fourth proportional to 1,239.56, 1,859.34 and 470.06 is: 705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.56 : 1,859.34 = 470.06 : x
  2. Step 2: Convert to fraction form
    1,239.56/1,859.34 = 470.06/x
  3. Step 3: Cross multiply
    1,239.56x = 1,859.34 × 470.06
  4. Step 4: Simplify right side
    1,239.56x = 874,007.77
  5. Step 5: Solve for x
    x = 874,007.77/1,239.56
  6. Step 6: Final answer
    x = 705.09

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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.