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Finding the Fourth Proportional to 1,299.21, 1,946.48 and 713.58

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Solution

The fourth proportional to 1,299.21, 1,946.48 and 713.58 is: 1,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.21 : 1,946.48 = 713.58 : x
  2. Step 2: Convert to fraction form
    1,299.21/1,946.48 = 713.58/x
  3. Step 3: Cross multiply
    1,299.21x = 1,946.48 × 713.58
  4. Step 4: Simplify right side
    1,299.21x = 1,388,965.63
  5. Step 5: Solve for x
    x = 1,388,965.63/1,299.21
  6. Step 6: Final answer
    x = 1,069.08

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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.