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Finding the Fourth Proportional to 897.84, 1,238.22 and 635.94

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Solution

The fourth proportional to 897.84, 1,238.22 and 635.94 is: 877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,238.22 = 635.94 : x
  2. Step 2: Convert to fraction form
    897.84/1,238.22 = 635.94/x
  3. Step 3: Cross multiply
    897.84x = 1,238.22 × 635.94
  4. Step 4: Simplify right side
    897.84x = 787,433.63
  5. Step 5: Solve for x
    x = 787,433.63/897.84
  6. Step 6: Final answer
    x = 877.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.