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Finding the Fourth Proportional to 678.95, 1,018.29 and 192.01

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Solution

The fourth proportional to 678.95, 1,018.29 and 192.01 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.95 : 1,018.29 = 192.01 : x
  2. Step 2: Convert to fraction form
    678.95/1,018.29 = 192.01/x
  3. Step 3: Cross multiply
    678.95x = 1,018.29 × 192.01
  4. Step 4: Simplify right side
    678.95x = 195,519.32
  5. Step 5: Solve for x
    x = 195,519.32/678.95
  6. Step 6: Final answer
    x = 287.97

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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.