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Finding the Fourth Proportional to 1,459.26, 2,189.07 and 485.46

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Solution

The fourth proportional to 1,459.26, 2,189.07 and 485.46 is: 728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.26 : 2,189.07 = 485.46 : x
  2. Step 2: Convert to fraction form
    1,459.26/2,189.07 = 485.46/x
  3. Step 3: Cross multiply
    1,459.26x = 2,189.07 × 485.46
  4. Step 4: Simplify right side
    1,459.26x = 1,062,705.92
  5. Step 5: Solve for x
    x = 1,062,705.92/1,459.26
  6. Step 6: Final answer
    x = 728.25

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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.