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Finding the Fourth Proportional to 896.90, 1,345.55 and 280.67

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Solution

The fourth proportional to 896.90, 1,345.55 and 280.67 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.90 : 1,345.55 = 280.67 : x
  2. Step 2: Convert to fraction form
    896.90/1,345.55 = 280.67/x
  3. Step 3: Cross multiply
    896.90x = 1,345.55 × 280.67
  4. Step 4: Simplify right side
    896.90x = 377,647.39
  5. Step 5: Solve for x
    x = 377,647.39/896.90
  6. Step 6: Final answer
    x = 421.06

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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.