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Finding the Fourth Proportional to 1,063.84, 1,466.56 and 704.33

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Solution

The fourth proportional to 1,063.84, 1,466.56 and 704.33 is: 970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.84 : 1,466.56 = 704.33 : x
  2. Step 2: Convert to fraction form
    1,063.84/1,466.56 = 704.33/x
  3. Step 3: Cross multiply
    1,063.84x = 1,466.56 × 704.33
  4. Step 4: Simplify right side
    1,063.84x = 1,032,940.37
  5. Step 5: Solve for x
    x = 1,032,940.37/1,063.84
  6. Step 6: Final answer
    x = 970.95

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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.