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Finding the Fourth Proportional to 1,808.07, 2,712.31 and 575.05

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Solution

The fourth proportional to 1,808.07, 2,712.31 and 575.05 is: 862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.07 : 2,712.31 = 575.05 : x
  2. Step 2: Convert to fraction form
    1,808.07/2,712.31 = 575.05/x
  3. Step 3: Cross multiply
    1,808.07x = 2,712.31 × 575.05
  4. Step 4: Simplify right side
    1,808.07x = 1,559,704.21
  5. Step 5: Solve for x
    x = 1,559,704.21/1,808.07
  6. Step 6: Final answer
    x = 862.63

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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.