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Finding the Fourth Proportional to 1,563.35, 2,345.37 and 523.40

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Solution

The fourth proportional to 1,563.35, 2,345.37 and 523.40 is: 785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.35 : 2,345.37 = 523.40 : x
  2. Step 2: Convert to fraction form
    1,563.35/2,345.37 = 523.40/x
  3. Step 3: Cross multiply
    1,563.35x = 2,345.37 × 523.40
  4. Step 4: Simplify right side
    1,563.35x = 1,227,572.52
  5. Step 5: Solve for x
    x = 1,227,572.52/1,563.35
  6. Step 6: Final answer
    x = 785.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.