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Finding the Fourth Proportional to 1,805.67, 2,708.46 and 507.06

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Solution

The fourth proportional to 1,805.67, 2,708.46 and 507.06 is: 760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.67 : 2,708.46 = 507.06 : x
  2. Step 2: Convert to fraction form
    1,805.67/2,708.46 = 507.06/x
  3. Step 3: Cross multiply
    1,805.67x = 2,708.46 × 507.06
  4. Step 4: Simplify right side
    1,805.67x = 1,373,351.73
  5. Step 5: Solve for x
    x = 1,373,351.73/1,805.67
  6. Step 6: Final answer
    x = 760.58

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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.