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Finding the Fourth Proportional to 1,571.16, 2,356.82 and 597.34

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Solution

The fourth proportional to 1,571.16, 2,356.82 and 597.34 is: 896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.16 : 2,356.82 = 597.34 : x
  2. Step 2: Convert to fraction form
    1,571.16/2,356.82 = 597.34/x
  3. Step 3: Cross multiply
    1,571.16x = 2,356.82 × 597.34
  4. Step 4: Simplify right side
    1,571.16x = 1,407,822.86
  5. Step 5: Solve for x
    x = 1,407,822.86/1,571.16
  6. Step 6: Final answer
    x = 896.04

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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.