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Finding the Fourth Proportional to 1,733.48, 2,600.76 and 580.04

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Solution

The fourth proportional to 1,733.48, 2,600.76 and 580.04 is: 870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.48 : 2,600.76 = 580.04 : x
  2. Step 2: Convert to fraction form
    1,733.48/2,600.76 = 580.04/x
  3. Step 3: Cross multiply
    1,733.48x = 2,600.76 × 580.04
  4. Step 4: Simplify right side
    1,733.48x = 1,508,544.83
  5. Step 5: Solve for x
    x = 1,508,544.83/1,733.48
  6. Step 6: Final answer
    x = 870.24

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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.