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Finding the Fourth Proportional to 879.99, 1,320.17 and 263.74

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Solution

The fourth proportional to 879.99, 1,320.17 and 263.74 is: 395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.99 : 1,320.17 = 263.74 : x
  2. Step 2: Convert to fraction form
    879.99/1,320.17 = 263.74/x
  3. Step 3: Cross multiply
    879.99x = 1,320.17 × 263.74
  4. Step 4: Simplify right side
    879.99x = 348,181.64
  5. Step 5: Solve for x
    x = 348,181.64/879.99
  6. Step 6: Final answer
    x = 395.67

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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.