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Finding the Fourth Proportional to 1,382.13, 1,907.32 and 822.58

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Solution

The fourth proportional to 1,382.13, 1,907.32 and 822.58 is: 1,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.13 : 1,907.32 = 822.58 : x
  2. Step 2: Convert to fraction form
    1,382.13/1,907.32 = 822.58/x
  3. Step 3: Cross multiply
    1,382.13x = 1,907.32 × 822.58
  4. Step 4: Simplify right side
    1,382.13x = 1,568,919.17
  5. Step 5: Solve for x
    x = 1,568,919.17/1,382.13
  6. Step 6: Final answer
    x = 1,135.15

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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.