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Finding the Fourth Proportional to 1,460.81, 2,015.30 and 989.25

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Solution

The fourth proportional to 1,460.81, 2,015.30 and 989.25 is: 1,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.81 : 2,015.30 = 989.25 : x
  2. Step 2: Convert to fraction form
    1,460.81/2,015.30 = 989.25/x
  3. Step 3: Cross multiply
    1,460.81x = 2,015.30 × 989.25
  4. Step 4: Simplify right side
    1,460.81x = 1,993,630.58
  5. Step 5: Solve for x
    x = 1,993,630.58/1,460.81
  6. Step 6: Final answer
    x = 1,364.75

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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.