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Finding the Fourth Proportional to 700.66, 1,051.05 and 267.82

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Solution

The fourth proportional to 700.66, 1,051.05 and 267.82 is: 401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.66 : 1,051.05 = 267.82 : x
  2. Step 2: Convert to fraction form
    700.66/1,051.05 = 267.82/x
  3. Step 3: Cross multiply
    700.66x = 1,051.05 × 267.82
  4. Step 4: Simplify right side
    700.66x = 281,492.21
  5. Step 5: Solve for x
    x = 281,492.21/700.66
  6. Step 6: Final answer
    x = 401.75

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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.