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Finding the Fourth Proportional to 1,302.84, 1,796.94 and 1,023.48

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Solution

The fourth proportional to 1,302.84, 1,796.94 and 1,023.48 is: 1,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.84 : 1,796.94 = 1,023.48 : x
  2. Step 2: Convert to fraction form
    1,302.84/1,796.94 = 1,023.48/x
  3. Step 3: Cross multiply
    1,302.84x = 1,796.94 × 1,023.48
  4. Step 4: Simplify right side
    1,302.84x = 1,839,132.15
  5. Step 5: Solve for x
    x = 1,839,132.15/1,302.84
  6. Step 6: Final answer
    x = 1,411.63

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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.