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Finding the Fourth Proportional to 759.21, 1,047.62 and 479.34

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Solution

The fourth proportional to 759.21, 1,047.62 and 479.34 is: 661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.21 : 1,047.62 = 479.34 : x
  2. Step 2: Convert to fraction form
    759.21/1,047.62 = 479.34/x
  3. Step 3: Cross multiply
    759.21x = 1,047.62 × 479.34
  4. Step 4: Simplify right side
    759.21x = 502,163.77
  5. Step 5: Solve for x
    x = 502,163.77/759.21
  6. Step 6: Final answer
    x = 661.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.