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Finding the Fourth Proportional to 701.63, 1,052.29 and 208.04

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Solution

The fourth proportional to 701.63, 1,052.29 and 208.04 is: 312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.63 : 1,052.29 = 208.04 : x
  2. Step 2: Convert to fraction form
    701.63/1,052.29 = 208.04/x
  3. Step 3: Cross multiply
    701.63x = 1,052.29 × 208.04
  4. Step 4: Simplify right side
    701.63x = 218,913.41
  5. Step 5: Solve for x
    x = 218,913.41/701.63
  6. Step 6: Final answer
    x = 312.01

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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.