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Finding the Fourth Proportional to 1,731.21, 2,596.77 and 498.63

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Solution

The fourth proportional to 1,731.21, 2,596.77 and 498.63 is: 747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.21 : 2,596.77 = 498.63 : x
  2. Step 2: Convert to fraction form
    1,731.21/2,596.77 = 498.63/x
  3. Step 3: Cross multiply
    1,731.21x = 2,596.77 × 498.63
  4. Step 4: Simplify right side
    1,731.21x = 1,294,827.43
  5. Step 5: Solve for x
    x = 1,294,827.43/1,731.21
  6. Step 6: Final answer
    x = 747.93

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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.