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Finding the Fourth Proportional to 1,184.37, 1,777.29 and 818.47

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Solution

The fourth proportional to 1,184.37, 1,777.29 and 818.47 is: 1,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.37 : 1,777.29 = 818.47 : x
  2. Step 2: Convert to fraction form
    1,184.37/1,777.29 = 818.47/x
  3. Step 3: Cross multiply
    1,184.37x = 1,777.29 × 818.47
  4. Step 4: Simplify right side
    1,184.37x = 1,454,658.55
  5. Step 5: Solve for x
    x = 1,454,658.55/1,184.37
  6. Step 6: Final answer
    x = 1,228.21

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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.