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Finding the Fourth Proportional to 1,157.63, 1,736.74 and 508.41

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Solution

The fourth proportional to 1,157.63, 1,736.74 and 508.41 is: 762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.63 : 1,736.74 = 508.41 : x
  2. Step 2: Convert to fraction form
    1,157.63/1,736.74 = 508.41/x
  3. Step 3: Cross multiply
    1,157.63x = 1,736.74 × 508.41
  4. Step 4: Simplify right side
    1,157.63x = 882,976.62
  5. Step 5: Solve for x
    x = 882,976.62/1,157.63
  6. Step 6: Final answer
    x = 762.75

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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.