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Finding the Fourth Proportional to 1,201.84, 1,658.52 and 677.98

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Solution

The fourth proportional to 1,201.84, 1,658.52 and 677.98 is: 935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.84 : 1,658.52 = 677.98 : x
  2. Step 2: Convert to fraction form
    1,201.84/1,658.52 = 677.98/x
  3. Step 3: Cross multiply
    1,201.84x = 1,658.52 × 677.98
  4. Step 4: Simplify right side
    1,201.84x = 1,124,443.39
  5. Step 5: Solve for x
    x = 1,124,443.39/1,201.84
  6. Step 6: Final answer
    x = 935.60

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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.