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Finding the Fourth Proportional to 683.78, 942.59 and 473.63

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Solution

The fourth proportional to 683.78, 942.59 and 473.63 is: 652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.78 : 942.59 = 473.63 : x
  2. Step 2: Convert to fraction form
    683.78/942.59 = 473.63/x
  3. Step 3: Cross multiply
    683.78x = 942.59 × 473.63
  4. Step 4: Simplify right side
    683.78x = 446,435.37
  5. Step 5: Solve for x
    x = 446,435.37/683.78
  6. Step 6: Final answer
    x = 652.90

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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.