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Finding the Fourth Proportional to 1,292.93, 1,939.35 and 368.48

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Solution

The fourth proportional to 1,292.93, 1,939.35 and 368.48 is: 552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.93 : 1,939.35 = 368.48 : x
  2. Step 2: Convert to fraction form
    1,292.93/1,939.35 = 368.48/x
  3. Step 3: Cross multiply
    1,292.93x = 1,939.35 × 368.48
  4. Step 4: Simplify right side
    1,292.93x = 714,611.69
  5. Step 5: Solve for x
    x = 714,611.69/1,292.93
  6. Step 6: Final answer
    x = 552.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.