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Finding the Fourth Proportional to 862.16, 1,292.44 and 783.60

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Solution

The fourth proportional to 862.16, 1,292.44 and 783.60 is: 1,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.16 : 1,292.44 = 783.60 : x
  2. Step 2: Convert to fraction form
    862.16/1,292.44 = 783.60/x
  3. Step 3: Cross multiply
    862.16x = 1,292.44 × 783.60
  4. Step 4: Simplify right side
    862.16x = 1,012,755.98
  5. Step 5: Solve for x
    x = 1,012,755.98/862.16
  6. Step 6: Final answer
    x = 1,174.67

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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.