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Finding the Fourth Proportional to 944.34, 1,302.83 and 696.25

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Solution

The fourth proportional to 944.34, 1,302.83 and 696.25 is: 960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.34 : 1,302.83 = 696.25 : x
  2. Step 2: Convert to fraction form
    944.34/1,302.83 = 696.25/x
  3. Step 3: Cross multiply
    944.34x = 1,302.83 × 696.25
  4. Step 4: Simplify right side
    944.34x = 907,088.65
  5. Step 5: Solve for x
    x = 907,088.65/944.34
  6. Step 6: Final answer
    x = 960.55

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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.