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Finding the Fourth Proportional to 1,157.32, 1,735.98 and 388.36

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Solution

The fourth proportional to 1,157.32, 1,735.98 and 388.36 is: 582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.32 : 1,735.98 = 388.36 : x
  2. Step 2: Convert to fraction form
    1,157.32/1,735.98 = 388.36/x
  3. Step 3: Cross multiply
    1,157.32x = 1,735.98 × 388.36
  4. Step 4: Simplify right side
    1,157.32x = 674,185.19
  5. Step 5: Solve for x
    x = 674,185.19/1,157.32
  6. Step 6: Final answer
    x = 582.54

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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.