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Finding the Fourth Proportional to 705.08, 972.04 and 683.56

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Solution

The fourth proportional to 705.08, 972.04 and 683.56 is: 942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.08 : 972.04 = 683.56 : x
  2. Step 2: Convert to fraction form
    705.08/972.04 = 683.56/x
  3. Step 3: Cross multiply
    705.08x = 972.04 × 683.56
  4. Step 4: Simplify right side
    705.08x = 664,447.66
  5. Step 5: Solve for x
    x = 664,447.66/705.08
  6. Step 6: Final answer
    x = 942.37

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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.