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Finding the Fourth Proportional to 1,029.48, 1,544.21 and 481.35

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Solution

The fourth proportional to 1,029.48, 1,544.21 and 481.35 is: 722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.48 : 1,544.21 = 481.35 : x
  2. Step 2: Convert to fraction form
    1,029.48/1,544.21 = 481.35/x
  3. Step 3: Cross multiply
    1,029.48x = 1,544.21 × 481.35
  4. Step 4: Simplify right side
    1,029.48x = 743,303.08
  5. Step 5: Solve for x
    x = 743,303.08/1,029.48
  6. Step 6: Final answer
    x = 722.02

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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.