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Finding the Fourth Proportional to 1,253.06, 1,876.85 and 764.63

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Solution

The fourth proportional to 1,253.06, 1,876.85 and 764.63 is: 1,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.06 : 1,876.85 = 764.63 : x
  2. Step 2: Convert to fraction form
    1,253.06/1,876.85 = 764.63/x
  3. Step 3: Cross multiply
    1,253.06x = 1,876.85 × 764.63
  4. Step 4: Simplify right side
    1,253.06x = 1,435,095.82
  5. Step 5: Solve for x
    x = 1,435,095.82/1,253.06
  6. Step 6: Final answer
    x = 1,145.27

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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.