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Finding the Fourth Proportional to 1,081.95, 1,624.14 and 433.14

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Solution

The fourth proportional to 1,081.95, 1,624.14 and 433.14 is: 650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.95 : 1,624.14 = 433.14 : x
  2. Step 2: Convert to fraction form
    1,081.95/1,624.14 = 433.14/x
  3. Step 3: Cross multiply
    1,081.95x = 1,624.14 × 433.14
  4. Step 4: Simplify right side
    1,081.95x = 703,480.00
  5. Step 5: Solve for x
    x = 703,480.00/1,081.95
  6. Step 6: Final answer
    x = 650.20

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Double scale
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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.