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Finding the Fourth Proportional to 856.98, 1,283.85 and 491.67

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Solution

The fourth proportional to 856.98, 1,283.85 and 491.67 is: 736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.98 : 1,283.85 = 491.67 : x
  2. Step 2: Convert to fraction form
    856.98/1,283.85 = 491.67/x
  3. Step 3: Cross multiply
    856.98x = 1,283.85 × 491.67
  4. Step 4: Simplify right side
    856.98x = 631,230.53
  5. Step 5: Solve for x
    x = 631,230.53/856.98
  6. Step 6: Final answer
    x = 736.58

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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.