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Finding the Fourth Proportional to 746.44, 1,119.85 and 259.50

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Solution

The fourth proportional to 746.44, 1,119.85 and 259.50 is: 389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.44 : 1,119.85 = 259.50 : x
  2. Step 2: Convert to fraction form
    746.44/1,119.85 = 259.50/x
  3. Step 3: Cross multiply
    746.44x = 1,119.85 × 259.50
  4. Step 4: Simplify right side
    746.44x = 290,596.23
  5. Step 5: Solve for x
    x = 290,596.23/746.44
  6. Step 6: Final answer
    x = 389.31

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Half scale
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Double scale
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1.5x scale

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.