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Finding the Fourth Proportional to 1,382.75, 2,074.13 and 470.75

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Solution

The fourth proportional to 1,382.75, 2,074.13 and 470.75 is: 706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.75 : 2,074.13 = 470.75 : x
  2. Step 2: Convert to fraction form
    1,382.75/2,074.13 = 470.75/x
  3. Step 3: Cross multiply
    1,382.75x = 2,074.13 × 470.75
  4. Step 4: Simplify right side
    1,382.75x = 976,394.34
  5. Step 5: Solve for x
    x = 976,394.34/1,382.75
  6. Step 6: Final answer
    x = 706.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.