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Finding the Fourth Proportional to 1,309.04, 1,962.53 and 896.92

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Solution

The fourth proportional to 1,309.04, 1,962.53 and 896.92 is: 1,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.04 : 1,962.53 = 896.92 : x
  2. Step 2: Convert to fraction form
    1,309.04/1,962.53 = 896.92/x
  3. Step 3: Cross multiply
    1,309.04x = 1,962.53 × 896.92
  4. Step 4: Simplify right side
    1,309.04x = 1,760,232.41
  5. Step 5: Solve for x
    x = 1,760,232.41/1,309.04
  6. Step 6: Final answer
    x = 1,344.67

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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.