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Finding the Fourth Proportional to 1,309.35, 1,807.02 and 719.94

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Solution

The fourth proportional to 1,309.35, 1,807.02 and 719.94 is: 993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.35 : 1,807.02 = 719.94 : x
  2. Step 2: Convert to fraction form
    1,309.35/1,807.02 = 719.94/x
  3. Step 3: Cross multiply
    1,309.35x = 1,807.02 × 719.94
  4. Step 4: Simplify right side
    1,309.35x = 1,300,945.98
  5. Step 5: Solve for x
    x = 1,300,945.98/1,309.35
  6. Step 6: Final answer
    x = 993.58

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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.