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Finding the Fourth Proportional to 1,736.64, 2,603.13 and 640.30

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Solution

The fourth proportional to 1,736.64, 2,603.13 and 640.30 is: 959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.64 : 2,603.13 = 640.30 : x
  2. Step 2: Convert to fraction form
    1,736.64/2,603.13 = 640.30/x
  3. Step 3: Cross multiply
    1,736.64x = 2,603.13 × 640.30
  4. Step 4: Simplify right side
    1,736.64x = 1,666,784.14
  5. Step 5: Solve for x
    x = 1,666,784.14/1,736.64
  6. Step 6: Final answer
    x = 959.78

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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.