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Finding the Fourth Proportional to 1,309.98, 1,807.89 and 720.57

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Solution

The fourth proportional to 1,309.98, 1,807.89 and 720.57 is: 994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.98 : 1,807.89 = 720.57 : x
  2. Step 2: Convert to fraction form
    1,309.98/1,807.89 = 720.57/x
  3. Step 3: Cross multiply
    1,309.98x = 1,807.89 × 720.57
  4. Step 4: Simplify right side
    1,309.98x = 1,302,711.30
  5. Step 5: Solve for x
    x = 1,302,711.30/1,309.98
  6. Step 6: Final answer
    x = 994.45

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