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Finding the Fourth Proportional to 1,382.43, 1,907.53 and 822.88

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Solution

The fourth proportional to 1,382.43, 1,907.53 and 822.88 is: 1,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.43 : 1,907.53 = 822.88 : x
  2. Step 2: Convert to fraction form
    1,382.43/1,907.53 = 822.88/x
  3. Step 3: Cross multiply
    1,382.43x = 1,907.53 × 822.88
  4. Step 4: Simplify right side
    1,382.43x = 1,569,668.29
  5. Step 5: Solve for x
    x = 1,569,668.29/1,382.43
  6. Step 6: Final answer
    x = 1,135.44

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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.