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Finding the Fourth Proportional to 700.25, 1,050.12 and 213.17

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Solution

The fourth proportional to 700.25, 1,050.12 and 213.17 is: 319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.25 : 1,050.12 = 213.17 : x
  2. Step 2: Convert to fraction form
    700.25/1,050.12 = 213.17/x
  3. Step 3: Cross multiply
    700.25x = 1,050.12 × 213.17
  4. Step 4: Simplify right side
    700.25x = 223,848.83
  5. Step 5: Solve for x
    x = 223,848.83/700.25
  6. Step 6: Final answer
    x = 319.67

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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.