Home / 1,106.46-1,655.64-1,067.58

Finding the Fourth Proportional to 1,106.46, 1,655.64 and 1,067.58

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Solution

The fourth proportional to 1,106.46, 1,655.64 and 1,067.58 is: 1,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.46 : 1,655.64 = 1,067.58 : x
  2. Step 2: Convert to fraction form
    1,106.46/1,655.64 = 1,067.58/x
  3. Step 3: Cross multiply
    1,106.46x = 1,655.64 × 1,067.58
  4. Step 4: Simplify right side
    1,106.46x = 1,767,528.15
  5. Step 5: Solve for x
    x = 1,767,528.15/1,106.46
  6. Step 6: Final answer
    x = 1,597.46

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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.