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Finding the Fourth Proportional to 1,188.12, 1,782.09 and 366.42

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Solution

The fourth proportional to 1,188.12, 1,782.09 and 366.42 is: 549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.12 : 1,782.09 = 366.42 : x
  2. Step 2: Convert to fraction form
    1,188.12/1,782.09 = 366.42/x
  3. Step 3: Cross multiply
    1,188.12x = 1,782.09 × 366.42
  4. Step 4: Simplify right side
    1,188.12x = 652,993.42
  5. Step 5: Solve for x
    x = 652,993.42/1,188.12
  6. Step 6: Final answer
    x = 549.60

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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.