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Finding the Fourth Proportional to 1,197.94, 1,803.94 and 1,045.68

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Solution

The fourth proportional to 1,197.94, 1,803.94 and 1,045.68 is: 1,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.94 : 1,803.94 = 1,045.68 : x
  2. Step 2: Convert to fraction form
    1,197.94/1,803.94 = 1,045.68/x
  3. Step 3: Cross multiply
    1,197.94x = 1,803.94 × 1,045.68
  4. Step 4: Simplify right side
    1,197.94x = 1,886,343.98
  5. Step 5: Solve for x
    x = 1,886,343.98/1,197.94
  6. Step 6: Final answer
    x = 1,574.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.