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Finding the Fourth Proportional to 1,307.64, 1,796.53 and 1,058.19

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Solution

The fourth proportional to 1,307.64, 1,796.53 and 1,058.19 is: 1,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.64 : 1,796.53 = 1,058.19 : x
  2. Step 2: Convert to fraction form
    1,307.64/1,796.53 = 1,058.19/x
  3. Step 3: Cross multiply
    1,307.64x = 1,796.53 × 1,058.19
  4. Step 4: Simplify right side
    1,307.64x = 1,901,067.74
  5. Step 5: Solve for x
    x = 1,901,067.74/1,307.64
  6. Step 6: Final answer
    x = 1,453.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.