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Finding the Fourth Proportional to 1,367.14, 1,886.68 and 746.14

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Solution

The fourth proportional to 1,367.14, 1,886.68 and 746.14 is: 1,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.14 : 1,886.68 = 746.14 : x
  2. Step 2: Convert to fraction form
    1,367.14/1,886.68 = 746.14/x
  3. Step 3: Cross multiply
    1,367.14x = 1,886.68 × 746.14
  4. Step 4: Simplify right side
    1,367.14x = 1,407,727.42
  5. Step 5: Solve for x
    x = 1,407,727.42/1,367.14
  6. Step 6: Final answer
    x = 1,029.69

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1.5x scale

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.