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Finding the Fourth Proportional to 1,201.23, 1,801.92 and 507.77

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Solution

The fourth proportional to 1,201.23, 1,801.92 and 507.77 is: 761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.23 : 1,801.92 = 507.77 : x
  2. Step 2: Convert to fraction form
    1,201.23/1,801.92 = 507.77/x
  3. Step 3: Cross multiply
    1,201.23x = 1,801.92 × 507.77
  4. Step 4: Simplify right side
    1,201.23x = 914,959.14
  5. Step 5: Solve for x
    x = 914,959.14/1,201.23
  6. Step 6: Final answer
    x = 761.69

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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.