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Finding the Fourth Proportional to 1,405.06, 2,103.50 and 818.27

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Solution

The fourth proportional to 1,405.06, 2,103.50 and 818.27 is: 1,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.06 : 2,103.50 = 818.27 : x
  2. Step 2: Convert to fraction form
    1,405.06/2,103.50 = 818.27/x
  3. Step 3: Cross multiply
    1,405.06x = 2,103.50 × 818.27
  4. Step 4: Simplify right side
    1,405.06x = 1,721,230.95
  5. Step 5: Solve for x
    x = 1,721,230.95/1,405.06
  6. Step 6: Final answer
    x = 1,225.02

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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.