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Finding the Fourth Proportional to 1,571.79, 2,356.74 and 596.82

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Solution

The fourth proportional to 1,571.79, 2,356.74 and 596.82 is: 894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.79 : 2,356.74 = 596.82 : x
  2. Step 2: Convert to fraction form
    1,571.79/2,356.74 = 596.82/x
  3. Step 3: Cross multiply
    1,571.79x = 2,356.74 × 596.82
  4. Step 4: Simplify right side
    1,571.79x = 1,406,549.57
  5. Step 5: Solve for x
    x = 1,406,549.57/1,571.79
  6. Step 6: Final answer
    x = 894.87

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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.