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Finding the Fourth Proportional to 979.02, 1,349.46 and 683.64

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Solution

The fourth proportional to 979.02, 1,349.46 and 683.64 is: 942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.02 : 1,349.46 = 683.64 : x
  2. Step 2: Convert to fraction form
    979.02/1,349.46 = 683.64/x
  3. Step 3: Cross multiply
    979.02x = 1,349.46 × 683.64
  4. Step 4: Simplify right side
    979.02x = 922,544.83
  5. Step 5: Solve for x
    x = 922,544.83/979.02
  6. Step 6: Final answer
    x = 942.31

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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.