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Finding the Fourth Proportional to 1,157.06, 1,735.46 and 387.62

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Solution

The fourth proportional to 1,157.06, 1,735.46 and 387.62 is: 581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.06 : 1,735.46 = 387.62 : x
  2. Step 2: Convert to fraction form
    1,157.06/1,735.46 = 387.62/x
  3. Step 3: Cross multiply
    1,157.06x = 1,735.46 × 387.62
  4. Step 4: Simplify right side
    1,157.06x = 672,699.01
  5. Step 5: Solve for x
    x = 672,699.01/1,157.06
  6. Step 6: Final answer
    x = 581.39

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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.