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Finding the Fourth Proportional to 1,571.45, 2,357.85 and 597.83

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Solution

The fourth proportional to 1,571.45, 2,357.85 and 597.83 is: 897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.45 : 2,357.85 = 597.83 : x
  2. Step 2: Convert to fraction form
    1,571.45/2,357.85 = 597.83/x
  3. Step 3: Cross multiply
    1,571.45x = 2,357.85 × 597.83
  4. Step 4: Simplify right side
    1,571.45x = 1,409,581.68
  5. Step 5: Solve for x
    x = 1,409,581.68/1,571.45
  6. Step 6: Final answer
    x = 897.00

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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.