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Finding the Fourth Proportional to 1,392.19, 2,087.85 and 467.54

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Solution

The fourth proportional to 1,392.19, 2,087.85 and 467.54 is: 701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.19 : 2,087.85 = 467.54 : x
  2. Step 2: Convert to fraction form
    1,392.19/2,087.85 = 467.54/x
  3. Step 3: Cross multiply
    1,392.19x = 2,087.85 × 467.54
  4. Step 4: Simplify right side
    1,392.19x = 976,153.39
  5. Step 5: Solve for x
    x = 976,153.39/1,392.19
  6. Step 6: Final answer
    x = 701.17

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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.