Home / 1,498.64-2,067.48-869.12

Finding the Fourth Proportional to 1,498.64, 2,067.48 and 869.12

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Solution

The fourth proportional to 1,498.64, 2,067.48 and 869.12 is: 1,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.64 : 2,067.48 = 869.12 : x
  2. Step 2: Convert to fraction form
    1,498.64/2,067.48 = 869.12/x
  3. Step 3: Cross multiply
    1,498.64x = 2,067.48 × 869.12
  4. Step 4: Simplify right side
    1,498.64x = 1,796,888.22
  5. Step 5: Solve for x
    x = 1,796,888.22/1,498.64
  6. Step 6: Final answer
    x = 1,199.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.