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Finding the Fourth Proportional to 1,239.44, 1,859.16 and 417.65

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Solution

The fourth proportional to 1,239.44, 1,859.16 and 417.65 is: 626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.44 : 1,859.16 = 417.65 : x
  2. Step 2: Convert to fraction form
    1,239.44/1,859.16 = 417.65/x
  3. Step 3: Cross multiply
    1,239.44x = 1,859.16 × 417.65
  4. Step 4: Simplify right side
    1,239.44x = 776,468.88
  5. Step 5: Solve for x
    x = 776,468.88/1,239.44
  6. Step 6: Final answer
    x = 626.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.