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Finding the Fourth Proportional to 678.99, 1,018.64 and 192.02

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Solution

The fourth proportional to 678.99, 1,018.64 and 192.02 is: 288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.99 : 1,018.64 = 192.02 : x
  2. Step 2: Convert to fraction form
    678.99/1,018.64 = 192.02/x
  3. Step 3: Cross multiply
    678.99x = 1,018.64 × 192.02
  4. Step 4: Simplify right side
    678.99x = 195,603.23
  5. Step 5: Solve for x
    x = 195,603.23/678.99
  6. Step 6: Final answer
    x = 288.08

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