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Finding the Fourth Proportional to 700.74, 1,051.08 and 213.77

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Solution

The fourth proportional to 700.74, 1,051.08 and 213.77 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.74 : 1,051.08 = 213.77 : x
  2. Step 2: Convert to fraction form
    700.74/1,051.08 = 213.77/x
  3. Step 3: Cross multiply
    700.74x = 1,051.08 × 213.77
  4. Step 4: Simplify right side
    700.74x = 224,684.12
  5. Step 5: Solve for x
    x = 224,684.12/700.74
  6. Step 6: Final answer
    x = 320.64

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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.