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Finding the Fourth Proportional to 1,805.65, 2,708.57 and 507.22

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Solution

The fourth proportional to 1,805.65, 2,708.57 and 507.22 is: 760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.65 : 2,708.57 = 507.22 : x
  2. Step 2: Convert to fraction form
    1,805.65/2,708.57 = 507.22/x
  3. Step 3: Cross multiply
    1,805.65x = 2,708.57 × 507.22
  4. Step 4: Simplify right side
    1,805.65x = 1,373,840.88
  5. Step 5: Solve for x
    x = 1,373,840.88/1,805.65
  6. Step 6: Final answer
    x = 760.86

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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.