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Finding the Fourth Proportional to 1,301.98, 1,796.76 and 712.51

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Solution

The fourth proportional to 1,301.98, 1,796.76 and 712.51 is: 983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.98 : 1,796.76 = 712.51 : x
  2. Step 2: Convert to fraction form
    1,301.98/1,796.76 = 712.51/x
  3. Step 3: Cross multiply
    1,301.98x = 1,796.76 × 712.51
  4. Step 4: Simplify right side
    1,301.98x = 1,280,209.47
  5. Step 5: Solve for x
    x = 1,280,209.47/1,301.98
  6. Step 6: Final answer
    x = 983.28

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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.