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Finding the Fourth Proportional to 862.84, 1,294.50 and 478.36

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Solution

The fourth proportional to 862.84, 1,294.50 and 478.36 is: 717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,294.50 = 478.36 : x
  2. Step 2: Convert to fraction form
    862.84/1,294.50 = 478.36/x
  3. Step 3: Cross multiply
    862.84x = 1,294.50 × 478.36
  4. Step 4: Simplify right side
    862.84x = 619,237.02
  5. Step 5: Solve for x
    x = 619,237.02/862.84
  6. Step 6: Final answer
    x = 717.67

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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.