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Finding the Fourth Proportional to 1,299.43, 1,946.04 and 713.53

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Solution

The fourth proportional to 1,299.43, 1,946.04 and 713.53 is: 1,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.43 : 1,946.04 = 713.53 : x
  2. Step 2: Convert to fraction form
    1,299.43/1,946.04 = 713.53/x
  3. Step 3: Cross multiply
    1,299.43x = 1,946.04 × 713.53
  4. Step 4: Simplify right side
    1,299.43x = 1,388,557.92
  5. Step 5: Solve for x
    x = 1,388,557.92/1,299.43
  6. Step 6: Final answer
    x = 1,068.59

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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.