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Finding the Fourth Proportional to 1,596.50, 2,394.74 and 500.86

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Solution

The fourth proportional to 1,596.50, 2,394.74 and 500.86 is: 751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.50 : 2,394.74 = 500.86 : x
  2. Step 2: Convert to fraction form
    1,596.50/2,394.74 = 500.86/x
  3. Step 3: Cross multiply
    1,596.50x = 2,394.74 × 500.86
  4. Step 4: Simplify right side
    1,596.50x = 1,199,425.30
  5. Step 5: Solve for x
    x = 1,199,425.30/1,596.50
  6. Step 6: Final answer
    x = 751.29

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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.