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Finding the Fourth Proportional to 1,460.42, 2,015.49 and 839.42

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Solution

The fourth proportional to 1,460.42, 2,015.49 and 839.42 is: 1,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.42 : 2,015.49 = 839.42 : x
  2. Step 2: Convert to fraction form
    1,460.42/2,015.49 = 839.42/x
  3. Step 3: Cross multiply
    1,460.42x = 2,015.49 × 839.42
  4. Step 4: Simplify right side
    1,460.42x = 1,691,842.62
  5. Step 5: Solve for x
    x = 1,691,842.62/1,460.42
  6. Step 6: Final answer
    x = 1,158.46

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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.