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Finding the Fourth Proportional to 1,563.83, 2,345.76 and 523.82

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Solution

The fourth proportional to 1,563.83, 2,345.76 and 523.82 is: 785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.83 : 2,345.76 = 523.82 : x
  2. Step 2: Convert to fraction form
    1,563.83/2,345.76 = 523.82/x
  3. Step 3: Cross multiply
    1,563.83x = 2,345.76 × 523.82
  4. Step 4: Simplify right side
    1,563.83x = 1,228,748.67
  5. Step 5: Solve for x
    x = 1,228,748.67/1,563.83
  6. Step 6: Final answer
    x = 785.73

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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.