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Finding the Fourth Proportional to 1,081.99, 1,623.42 and 432.64

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Solution

The fourth proportional to 1,081.99, 1,623.42 and 432.64 is: 649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.99 : 1,623.42 = 432.64 : x
  2. Step 2: Convert to fraction form
    1,081.99/1,623.42 = 432.64/x
  3. Step 3: Cross multiply
    1,081.99x = 1,623.42 × 432.64
  4. Step 4: Simplify right side
    1,081.99x = 702,356.43
  5. Step 5: Solve for x
    x = 702,356.43/1,081.99
  6. Step 6: Final answer
    x = 649.13

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Double scale
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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.