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Finding the Fourth Proportional to 1,303.31, 1,798.62 and 713.81

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Solution

The fourth proportional to 1,303.31, 1,798.62 and 713.81 is: 985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.31 : 1,798.62 = 713.81 : x
  2. Step 2: Convert to fraction form
    1,303.31/1,798.62 = 713.81/x
  3. Step 3: Cross multiply
    1,303.31x = 1,798.62 × 713.81
  4. Step 4: Simplify right side
    1,303.31x = 1,283,872.94
  5. Step 5: Solve for x
    x = 1,283,872.94/1,303.31
  6. Step 6: Final answer
    x = 985.09

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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.