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Finding the Fourth Proportional to 1,309.11, 1,806.54 and 719.64

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Solution

The fourth proportional to 1,309.11, 1,806.54 and 719.64 is: 993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.11 : 1,806.54 = 719.64 : x
  2. Step 2: Convert to fraction form
    1,309.11/1,806.54 = 719.64/x
  3. Step 3: Cross multiply
    1,309.11x = 1,806.54 × 719.64
  4. Step 4: Simplify right side
    1,309.11x = 1,300,058.45
  5. Step 5: Solve for x
    x = 1,300,058.45/1,309.11
  6. Step 6: Final answer
    x = 993.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.