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Finding the Fourth Proportional to 1,356.26, 2,034.69 and 478.73

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Solution

The fourth proportional to 1,356.26, 2,034.69 and 478.73 is: 718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.26 : 2,034.69 = 478.73 : x
  2. Step 2: Convert to fraction form
    1,356.26/2,034.69 = 478.73/x
  3. Step 3: Cross multiply
    1,356.26x = 2,034.69 × 478.73
  4. Step 4: Simplify right side
    1,356.26x = 974,054.58
  5. Step 5: Solve for x
    x = 974,054.58/1,356.26
  6. Step 6: Final answer
    x = 718.19

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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.