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Finding the Fourth Proportional to 1,309.75, 1,807.51 and 720.27

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Solution

The fourth proportional to 1,309.75, 1,807.51 and 720.27 is: 994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.75 : 1,807.51 = 720.27 : x
  2. Step 2: Convert to fraction form
    1,309.75/1,807.51 = 720.27/x
  3. Step 3: Cross multiply
    1,309.75x = 1,807.51 × 720.27
  4. Step 4: Simplify right side
    1,309.75x = 1,301,896.15
  5. Step 5: Solve for x
    x = 1,301,896.15/1,309.75
  6. Step 6: Final answer
    x = 994.00

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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.