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Finding the Fourth Proportional to 1,382.52, 1,907.74 and 823.08

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Solution

The fourth proportional to 1,382.52, 1,907.74 and 823.08 is: 1,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.52 : 1,907.74 = 823.08 : x
  2. Step 2: Convert to fraction form
    1,382.52/1,907.74 = 823.08/x
  3. Step 3: Cross multiply
    1,382.52x = 1,907.74 × 823.08
  4. Step 4: Simplify right side
    1,382.52x = 1,570,222.64
  5. Step 5: Solve for x
    x = 1,570,222.64/1,382.52
  6. Step 6: Final answer
    x = 1,135.77

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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.