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Finding the Fourth Proportional to 866.94, 1,300.05 and 289.86

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Solution

The fourth proportional to 866.94, 1,300.05 and 289.86 is: 434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.94 : 1,300.05 = 289.86 : x
  2. Step 2: Convert to fraction form
    866.94/1,300.05 = 289.86/x
  3. Step 3: Cross multiply
    866.94x = 1,300.05 × 289.86
  4. Step 4: Simplify right side
    866.94x = 376,832.49
  5. Step 5: Solve for x
    x = 376,832.49/866.94
  6. Step 6: Final answer
    x = 434.67

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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.