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Finding the Fourth Proportional to 1,303.11, 1,796.41 and 929.44

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Solution

The fourth proportional to 1,303.11, 1,796.41 and 929.44 is: 1,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.11 : 1,796.41 = 929.44 : x
  2. Step 2: Convert to fraction form
    1,303.11/1,796.41 = 929.44/x
  3. Step 3: Cross multiply
    1,303.11x = 1,796.41 × 929.44
  4. Step 4: Simplify right side
    1,303.11x = 1,669,655.31
  5. Step 5: Solve for x
    x = 1,669,655.31/1,303.11
  6. Step 6: Final answer
    x = 1,281.29

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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.