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Finding the Fourth Proportional to 1,555.99, 2,334.23 and 529.75

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Solution

The fourth proportional to 1,555.99, 2,334.23 and 529.75 is: 794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.99 : 2,334.23 = 529.75 : x
  2. Step 2: Convert to fraction form
    1,555.99/2,334.23 = 529.75/x
  3. Step 3: Cross multiply
    1,555.99x = 2,334.23 × 529.75
  4. Step 4: Simplify right side
    1,555.99x = 1,236,558.34
  5. Step 5: Solve for x
    x = 1,236,558.34/1,555.99
  6. Step 6: Final answer
    x = 794.71

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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.