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Finding the Fourth Proportional to 707.21, 1,060.81 and 416.73

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Solution

The fourth proportional to 707.21, 1,060.81 and 416.73 is: 625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.21 : 1,060.81 = 416.73 : x
  2. Step 2: Convert to fraction form
    707.21/1,060.81 = 416.73/x
  3. Step 3: Cross multiply
    707.21x = 1,060.81 × 416.73
  4. Step 4: Simplify right side
    707.21x = 442,071.52
  5. Step 5: Solve for x
    x = 442,071.52/707.21
  6. Step 6: Final answer
    x = 625.09

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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.