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Finding the Fourth Proportional to 746.04, 1,119.10 and 259.72

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Solution

The fourth proportional to 746.04, 1,119.10 and 259.72 is: 389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.04 : 1,119.10 = 259.72 : x
  2. Step 2: Convert to fraction form
    746.04/1,119.10 = 259.72/x
  3. Step 3: Cross multiply
    746.04x = 1,119.10 × 259.72
  4. Step 4: Simplify right side
    746.04x = 290,652.65
  5. Step 5: Solve for x
    x = 290,652.65/746.04
  6. Step 6: Final answer
    x = 389.59

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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.