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Finding the Fourth Proportional to 1,570.05, 2,353.67 and 596.83

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Solution

The fourth proportional to 1,570.05, 2,353.67 and 596.83 is: 894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.05 : 2,353.67 = 596.83 : x
  2. Step 2: Convert to fraction form
    1,570.05/2,353.67 = 596.83/x
  3. Step 3: Cross multiply
    1,570.05x = 2,353.67 × 596.83
  4. Step 4: Simplify right side
    1,570.05x = 1,404,740.87
  5. Step 5: Solve for x
    x = 1,404,740.87/1,570.05
  6. Step 6: Final answer
    x = 894.71

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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.