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Finding the Fourth Proportional to 1,292.21, 1,936.76 and 597.93

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Solution

The fourth proportional to 1,292.21, 1,936.76 and 597.93 is: 896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.21 : 1,936.76 = 597.93 : x
  2. Step 2: Convert to fraction form
    1,292.21/1,936.76 = 597.93/x
  3. Step 3: Cross multiply
    1,292.21x = 1,936.76 × 597.93
  4. Step 4: Simplify right side
    1,292.21x = 1,158,043.92
  5. Step 5: Solve for x
    x = 1,158,043.92/1,292.21
  6. Step 6: Final answer
    x = 896.18

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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.