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Finding the Fourth Proportional to 1,400.95, 1,933.67 and 841.44

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Solution

The fourth proportional to 1,400.95, 1,933.67 and 841.44 is: 1,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.95 : 1,933.67 = 841.44 : x
  2. Step 2: Convert to fraction form
    1,400.95/1,933.67 = 841.44/x
  3. Step 3: Cross multiply
    1,400.95x = 1,933.67 × 841.44
  4. Step 4: Simplify right side
    1,400.95x = 1,627,067.28
  5. Step 5: Solve for x
    x = 1,627,067.28/1,400.95
  6. Step 6: Final answer
    x = 1,161.40

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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.