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Finding the Fourth Proportional to 1,459.50, 2,189.61 and 433.50

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Solution

The fourth proportional to 1,459.50, 2,189.61 and 433.50 is: 650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.50 : 2,189.61 = 433.50 : x
  2. Step 2: Convert to fraction form
    1,459.50/2,189.61 = 433.50/x
  3. Step 3: Cross multiply
    1,459.50x = 2,189.61 × 433.50
  4. Step 4: Simplify right side
    1,459.50x = 949,195.94
  5. Step 5: Solve for x
    x = 949,195.94/1,459.50
  6. Step 6: Final answer
    x = 650.36

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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.