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Finding the Fourth Proportional to 1,188.42, 1,782.88 and 366.76

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Solution

The fourth proportional to 1,188.42, 1,782.88 and 366.76 is: 550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.42 : 1,782.88 = 366.76 : x
  2. Step 2: Convert to fraction form
    1,188.42/1,782.88 = 366.76/x
  3. Step 3: Cross multiply
    1,188.42x = 1,782.88 × 366.76
  4. Step 4: Simplify right side
    1,188.42x = 653,889.07
  5. Step 5: Solve for x
    x = 653,889.07/1,188.42
  6. Step 6: Final answer
    x = 550.22

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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.