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Finding the Fourth Proportional to 1,048.93, 1,446.73 and 694.23

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Solution

The fourth proportional to 1,048.93, 1,446.73 and 694.23 is: 957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.93 : 1,446.73 = 694.23 : x
  2. Step 2: Convert to fraction form
    1,048.93/1,446.73 = 694.23/x
  3. Step 3: Cross multiply
    1,048.93x = 1,446.73 × 694.23
  4. Step 4: Simplify right side
    1,048.93x = 1,004,356.21
  5. Step 5: Solve for x
    x = 1,004,356.21/1,048.93
  6. Step 6: Final answer
    x = 957.51

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1.5x scale

Why These Related Problems?

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