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Finding the Fourth Proportional to 1,285.34, 1,928.07 and 419.63

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Solution

The fourth proportional to 1,285.34, 1,928.07 and 419.63 is: 629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.34 : 1,928.07 = 419.63 : x
  2. Step 2: Convert to fraction form
    1,285.34/1,928.07 = 419.63/x
  3. Step 3: Cross multiply
    1,285.34x = 1,928.07 × 419.63
  4. Step 4: Simplify right side
    1,285.34x = 809,066.37
  5. Step 5: Solve for x
    x = 809,066.37/1,285.34
  6. Step 6: Final answer
    x = 629.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.