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Finding the Fourth Proportional to 746.42, 1,119.83 and 259.50

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Solution

The fourth proportional to 746.42, 1,119.83 and 259.50 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.42 : 1,119.83 = 259.50 : x
  2. Step 2: Convert to fraction form
    746.42/1,119.83 = 259.50/x
  3. Step 3: Cross multiply
    746.42x = 1,119.83 × 259.50
  4. Step 4: Simplify right side
    746.42x = 290,598.79
  5. Step 5: Solve for x
    x = 290,598.79/746.42
  6. Step 6: Final answer
    x = 389.33

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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.