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Finding the Fourth Proportional to 1,043.11, 1,565.73 and 523.48

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Solution

The fourth proportional to 1,043.11, 1,565.73 and 523.48 is: 785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.11 : 1,565.73 = 523.48 : x
  2. Step 2: Convert to fraction form
    1,043.11/1,565.73 = 523.48/x
  3. Step 3: Cross multiply
    1,043.11x = 1,565.73 × 523.48
  4. Step 4: Simplify right side
    1,043.11x = 819,628.34
  5. Step 5: Solve for x
    x = 819,628.34/1,043.11
  6. Step 6: Final answer
    x = 785.75

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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.