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Finding the Fourth Proportional to 1,392.04, 2,087.82 and 526.12

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Solution

The fourth proportional to 1,392.04, 2,087.82 and 526.12 is: 789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.04 : 2,087.82 = 526.12 : x
  2. Step 2: Convert to fraction form
    1,392.04/2,087.82 = 526.12/x
  3. Step 3: Cross multiply
    1,392.04x = 2,087.82 × 526.12
  4. Step 4: Simplify right side
    1,392.04x = 1,098,443.86
  5. Step 5: Solve for x
    x = 1,098,443.86/1,392.04
  6. Step 6: Final answer
    x = 789.09

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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.