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Finding the Fourth Proportional to 1,048.53, 1,445.94 and 694.17

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Solution

The fourth proportional to 1,048.53, 1,445.94 and 694.17 is: 957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.53 : 1,445.94 = 694.17 : x
  2. Step 2: Convert to fraction form
    1,048.53/1,445.94 = 694.17/x
  3. Step 3: Cross multiply
    1,048.53x = 1,445.94 × 694.17
  4. Step 4: Simplify right side
    1,048.53x = 1,003,728.17
  5. Step 5: Solve for x
    x = 1,003,728.17/1,048.53
  6. Step 6: Final answer
    x = 957.27

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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.