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Finding the Fourth Proportional to 1,733.38, 2,600.07 and 500.80

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Solution

The fourth proportional to 1,733.38, 2,600.07 and 500.80 is: 751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.38 : 2,600.07 = 500.80 : x
  2. Step 2: Convert to fraction form
    1,733.38/2,600.07 = 500.80/x
  3. Step 3: Cross multiply
    1,733.38x = 2,600.07 × 500.80
  4. Step 4: Simplify right side
    1,733.38x = 1,302,115.06
  5. Step 5: Solve for x
    x = 1,302,115.06/1,733.38
  6. Step 6: Final answer
    x = 751.20

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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.