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Finding the Fourth Proportional to 1,029.75, 1,544.63 and 345.75

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Solution

The fourth proportional to 1,029.75, 1,544.63 and 345.75 is: 518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.75 : 1,544.63 = 345.75 : x
  2. Step 2: Convert to fraction form
    1,029.75/1,544.63 = 345.75/x
  3. Step 3: Cross multiply
    1,029.75x = 1,544.63 × 345.75
  4. Step 4: Simplify right side
    1,029.75x = 534,054.09
  5. Step 5: Solve for x
    x = 534,054.09/1,029.75
  6. Step 6: Final answer
    x = 518.63

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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.