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Finding the Fourth Proportional to 953.91, 1,428.59 and 563.00

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Solution

The fourth proportional to 953.91, 1,428.59 and 563.00 is: 843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.91 : 1,428.59 = 563.00 : x
  2. Step 2: Convert to fraction form
    953.91/1,428.59 = 563.00/x
  3. Step 3: Cross multiply
    953.91x = 1,428.59 × 563.00
  4. Step 4: Simplify right side
    953.91x = 804,290.43
  5. Step 5: Solve for x
    x = 804,290.43/953.91
  6. Step 6: Final answer
    x = 843.15

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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.