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Finding the Fourth Proportional to 700.83, 1,051.34 and 213.80

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Solution

The fourth proportional to 700.83, 1,051.34 and 213.80 is: 320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.83 : 1,051.34 = 213.80 : x
  2. Step 2: Convert to fraction form
    700.83/1,051.34 = 213.80/x
  3. Step 3: Cross multiply
    700.83x = 1,051.34 × 213.80
  4. Step 4: Simplify right side
    700.83x = 224,770.17
  5. Step 5: Solve for x
    x = 224,770.17/700.83
  6. Step 6: Final answer
    x = 320.72

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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.