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Finding the Fourth Proportional to 1,351.68, 2,028.48 and 581.76

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Solution

The fourth proportional to 1,351.68, 2,028.48 and 581.76 is: 873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.68 : 2,028.48 = 581.76 : x
  2. Step 2: Convert to fraction form
    1,351.68/2,028.48 = 581.76/x
  3. Step 3: Cross multiply
    1,351.68x = 2,028.48 × 581.76
  4. Step 4: Simplify right side
    1,351.68x = 1,180,088.52
  5. Step 5: Solve for x
    x = 1,180,088.52/1,351.68
  6. Step 6: Final answer
    x = 873.05

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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.