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Finding the Fourth Proportional to 1,808.47, 2,712.80 and 510.04

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Solution

The fourth proportional to 1,808.47, 2,712.80 and 510.04 is: 765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.47 : 2,712.80 = 510.04 : x
  2. Step 2: Convert to fraction form
    1,808.47/2,712.80 = 510.04/x
  3. Step 3: Cross multiply
    1,808.47x = 2,712.80 × 510.04
  4. Step 4: Simplify right side
    1,808.47x = 1,383,633.22
  5. Step 5: Solve for x
    x = 1,383,633.22/1,808.47
  6. Step 6: Final answer
    x = 765.09

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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.