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Finding the Fourth Proportional to 1,756.10, 2,634.56 and 523.60

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Solution

The fourth proportional to 1,756.10, 2,634.56 and 523.60 is: 785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.10 : 2,634.56 = 523.60 : x
  2. Step 2: Convert to fraction form
    1,756.10/2,634.56 = 523.60/x
  3. Step 3: Cross multiply
    1,756.10x = 2,634.56 × 523.60
  4. Step 4: Simplify right side
    1,756.10x = 1,379,455.62
  5. Step 5: Solve for x
    x = 1,379,455.62/1,756.10
  6. Step 6: Final answer
    x = 785.52

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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.