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Finding the Fourth Proportional to 1,285.70, 1,926.50 and 764.47

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Solution

The fourth proportional to 1,285.70, 1,926.50 and 764.47 is: 1,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.70 : 1,926.50 = 764.47 : x
  2. Step 2: Convert to fraction form
    1,285.70/1,926.50 = 764.47/x
  3. Step 3: Cross multiply
    1,285.70x = 1,926.50 × 764.47
  4. Step 4: Simplify right side
    1,285.70x = 1,472,741.82
  5. Step 5: Solve for x
    x = 1,472,741.82/1,285.70
  6. Step 6: Final answer
    x = 1,145.48

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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.