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Finding the Fourth Proportional to 1,392.35, 2,087.15 and 570.83

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Solution

The fourth proportional to 1,392.35, 2,087.15 and 570.83 is: 855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.35 : 2,087.15 = 570.83 : x
  2. Step 2: Convert to fraction form
    1,392.35/2,087.15 = 570.83/x
  3. Step 3: Cross multiply
    1,392.35x = 2,087.15 × 570.83
  4. Step 4: Simplify right side
    1,392.35x = 1,191,394.54
  5. Step 5: Solve for x
    x = 1,191,394.54/1,392.35
  6. Step 6: Final answer
    x = 855.67

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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.