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Finding the Fourth Proportional to 697.21, 1,046.66 and 286.67

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Solution

The fourth proportional to 697.21, 1,046.66 and 286.67 is: 430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.21 : 1,046.66 = 286.67 : x
  2. Step 2: Convert to fraction form
    697.21/1,046.66 = 286.67/x
  3. Step 3: Cross multiply
    697.21x = 1,046.66 × 286.67
  4. Step 4: Simplify right side
    697.21x = 300,047.21
  5. Step 5: Solve for x
    x = 300,047.21/697.21
  6. Step 6: Final answer
    x = 430.36

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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.