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Finding the Fourth Proportional to 1,068.06, 1,602.09 and 298.54

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Solution

The fourth proportional to 1,068.06, 1,602.09 and 298.54 is: 447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.06 : 1,602.09 = 298.54 : x
  2. Step 2: Convert to fraction form
    1,068.06/1,602.09 = 298.54/x
  3. Step 3: Cross multiply
    1,068.06x = 1,602.09 × 298.54
  4. Step 4: Simplify right side
    1,068.06x = 478,287.95
  5. Step 5: Solve for x
    x = 478,287.95/1,068.06
  6. Step 6: Final answer
    x = 447.81

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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.