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Finding the Fourth Proportional to 1,003.67, 1,505.75 and 345.56

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Solution

The fourth proportional to 1,003.67, 1,505.75 and 345.56 is: 518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.67 : 1,505.75 = 345.56 : x
  2. Step 2: Convert to fraction form
    1,003.67/1,505.75 = 345.56/x
  3. Step 3: Cross multiply
    1,003.67x = 1,505.75 × 345.56
  4. Step 4: Simplify right side
    1,003.67x = 520,319.66
  5. Step 5: Solve for x
    x = 520,319.66/1,003.67
  6. Step 6: Final answer
    x = 518.42

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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.