Home / 1,028.08-1,541.68-507.76

Finding the Fourth Proportional to 1,028.08, 1,541.68 and 507.76

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Solution

The fourth proportional to 1,028.08, 1,541.68 and 507.76 is: 761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.08 : 1,541.68 = 507.76 : x
  2. Step 2: Convert to fraction form
    1,028.08/1,541.68 = 507.76/x
  3. Step 3: Cross multiply
    1,028.08x = 1,541.68 × 507.76
  4. Step 4: Simplify right side
    1,028.08x = 782,803.44
  5. Step 5: Solve for x
    x = 782,803.44/1,028.08
  6. Step 6: Final answer
    x = 761.42

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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.