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Finding the Fourth Proportional to 1,067.76, 1,462.82 and 1,030.77

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Solution

The fourth proportional to 1,067.76, 1,462.82 and 1,030.77 is: 1,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.76 : 1,462.82 = 1,030.77 : x
  2. Step 2: Convert to fraction form
    1,067.76/1,462.82 = 1,030.77/x
  3. Step 3: Cross multiply
    1,067.76x = 1,462.82 × 1,030.77
  4. Step 4: Simplify right side
    1,067.76x = 1,507,825.82
  5. Step 5: Solve for x
    x = 1,507,825.82/1,067.76
  6. Step 6: Final answer
    x = 1,412.14

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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.