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Finding the Fourth Proportional to 1,307.34, 1,960.25 and 896.67

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Solution

The fourth proportional to 1,307.34, 1,960.25 and 896.67 is: 1,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.34 : 1,960.25 = 896.67 : x
  2. Step 2: Convert to fraction form
    1,307.34/1,960.25 = 896.67/x
  3. Step 3: Cross multiply
    1,307.34x = 1,960.25 × 896.67
  4. Step 4: Simplify right side
    1,307.34x = 1,757,697.93
  5. Step 5: Solve for x
    x = 1,757,697.93/1,307.34
  6. Step 6: Final answer
    x = 1,344.48

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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.