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Finding the Fourth Proportional to 1,157.51, 1,736.04 and 378.06

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Solution

The fourth proportional to 1,157.51, 1,736.04 and 378.06 is: 567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.51 : 1,736.04 = 378.06 : x
  2. Step 2: Convert to fraction form
    1,157.51/1,736.04 = 378.06/x
  3. Step 3: Cross multiply
    1,157.51x = 1,736.04 × 378.06
  4. Step 4: Simplify right side
    1,157.51x = 656,327.28
  5. Step 5: Solve for x
    x = 656,327.28/1,157.51
  6. Step 6: Final answer
    x = 567.02

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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.