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Finding the Fourth Proportional to 739.60, 1,109.49 and 307.06

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Solution

The fourth proportional to 739.60, 1,109.49 and 307.06 is: 460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.60 : 1,109.49 = 307.06 : x
  2. Step 2: Convert to fraction form
    739.60/1,109.49 = 307.06/x
  3. Step 3: Cross multiply
    739.60x = 1,109.49 × 307.06
  4. Step 4: Simplify right side
    739.60x = 340,680.00
  5. Step 5: Solve for x
    x = 340,680.00/739.60
  6. Step 6: Final answer
    x = 460.63

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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.