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Finding the Fourth Proportional to 1,428.99, 2,144.69 and 563.91

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Solution

The fourth proportional to 1,428.99, 2,144.69 and 563.91 is: 846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.99 : 2,144.69 = 563.91 : x
  2. Step 2: Convert to fraction form
    1,428.99/2,144.69 = 563.91/x
  3. Step 3: Cross multiply
    1,428.99x = 2,144.69 × 563.91
  4. Step 4: Simplify right side
    1,428.99x = 1,209,412.14
  5. Step 5: Solve for x
    x = 1,209,412.14/1,428.99
  6. Step 6: Final answer
    x = 846.34

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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.