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Finding the Fourth Proportional to 1,563.33, 2,345.11 and 523.29

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Solution

The fourth proportional to 1,563.33, 2,345.11 and 523.29 is: 784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.33 : 2,345.11 = 523.29 : x
  2. Step 2: Convert to fraction form
    1,563.33/2,345.11 = 523.29/x
  3. Step 3: Cross multiply
    1,563.33x = 2,345.11 × 523.29
  4. Step 4: Simplify right side
    1,563.33x = 1,227,180.10
  5. Step 5: Solve for x
    x = 1,227,180.10/1,563.33
  6. Step 6: Final answer
    x = 784.98

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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.