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Finding the Fourth Proportional to 1,146.42, 1,718.76 and 366.15

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Solution

The fourth proportional to 1,146.42, 1,718.76 and 366.15 is: 548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.42 : 1,718.76 = 366.15 : x
  2. Step 2: Convert to fraction form
    1,146.42/1,718.76 = 366.15/x
  3. Step 3: Cross multiply
    1,146.42x = 1,718.76 × 366.15
  4. Step 4: Simplify right side
    1,146.42x = 629,323.97
  5. Step 5: Solve for x
    x = 629,323.97/1,146.42
  6. Step 6: Final answer
    x = 548.95

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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.