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Finding the Fourth Proportional to 1,067.02, 1,598.64 and 741.76

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Solution

The fourth proportional to 1,067.02, 1,598.64 and 741.76 is: 1,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.02 : 1,598.64 = 741.76 : x
  2. Step 2: Convert to fraction form
    1,067.02/1,598.64 = 741.76/x
  3. Step 3: Cross multiply
    1,067.02x = 1,598.64 × 741.76
  4. Step 4: Simplify right side
    1,067.02x = 1,185,807.21
  5. Step 5: Solve for x
    x = 1,185,807.21/1,067.02
  6. Step 6: Final answer
    x = 1,111.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.