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Finding the Fourth Proportional to 1,597.43, 2,395.38 and 557.31

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Solution

The fourth proportional to 1,597.43, 2,395.38 and 557.31 is: 835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.43 : 2,395.38 = 557.31 : x
  2. Step 2: Convert to fraction form
    1,597.43/2,395.38 = 557.31/x
  3. Step 3: Cross multiply
    1,597.43x = 2,395.38 × 557.31
  4. Step 4: Simplify right side
    1,597.43x = 1,334,957.25
  5. Step 5: Solve for x
    x = 1,334,957.25/1,597.43
  6. Step 6: Final answer
    x = 835.69

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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.