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Finding the Fourth Proportional to 1,231.24, 1,847.76 and 582.16

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Solution

The fourth proportional to 1,231.24, 1,847.76 and 582.16 is: 873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.24 : 1,847.76 = 582.16 : x
  2. Step 2: Convert to fraction form
    1,231.24/1,847.76 = 582.16/x
  3. Step 3: Cross multiply
    1,231.24x = 1,847.76 × 582.16
  4. Step 4: Simplify right side
    1,231.24x = 1,075,691.96
  5. Step 5: Solve for x
    x = 1,075,691.96/1,231.24
  6. Step 6: Final answer
    x = 873.67

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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.