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Finding the Fourth Proportional to 1,064.36, 1,596.57 and 479.27

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Solution

The fourth proportional to 1,064.36, 1,596.57 and 479.27 is: 718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.36 : 1,596.57 = 479.27 : x
  2. Step 2: Convert to fraction form
    1,064.36/1,596.57 = 479.27/x
  3. Step 3: Cross multiply
    1,064.36x = 1,596.57 × 479.27
  4. Step 4: Simplify right side
    1,064.36x = 765,180.12
  5. Step 5: Solve for x
    x = 765,180.12/1,064.36
  6. Step 6: Final answer
    x = 718.91

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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.