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Finding the Fourth Proportional to 1,309.85, 1,807.62 and 720.41

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Solution

The fourth proportional to 1,309.85, 1,807.62 and 720.41 is: 994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.85 : 1,807.62 = 720.41 : x
  2. Step 2: Convert to fraction form
    1,309.85/1,807.62 = 720.41/x
  3. Step 3: Cross multiply
    1,309.85x = 1,807.62 × 720.41
  4. Step 4: Simplify right side
    1,309.85x = 1,302,223.92
  5. Step 5: Solve for x
    x = 1,302,223.92/1,309.85
  6. Step 6: Final answer
    x = 994.18

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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.