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Finding the Fourth Proportional to 1,283.40, 1,771.10 and 693.94

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Solution

The fourth proportional to 1,283.40, 1,771.10 and 693.94 is: 957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.40 : 1,771.10 = 693.94 : x
  2. Step 2: Convert to fraction form
    1,283.40/1,771.10 = 693.94/x
  3. Step 3: Cross multiply
    1,283.40x = 1,771.10 × 693.94
  4. Step 4: Simplify right side
    1,283.40x = 1,229,029.24
  5. Step 5: Solve for x
    x = 1,229,029.24/1,283.40
  6. Step 6: Final answer
    x = 957.63

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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.