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Finding the Fourth Proportional to 1,730.93, 2,596.85 and 498.44

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Solution

The fourth proportional to 1,730.93, 2,596.85 and 498.44 is: 747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.93 : 2,596.85 = 498.44 : x
  2. Step 2: Convert to fraction form
    1,730.93/2,596.85 = 498.44/x
  3. Step 3: Cross multiply
    1,730.93x = 2,596.85 × 498.44
  4. Step 4: Simplify right side
    1,730.93x = 1,294,378.58
  5. Step 5: Solve for x
    x = 1,294,378.58/1,730.93
  6. Step 6: Final answer
    x = 747.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.