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Finding the Fourth Proportional to 1,284.07, 1,926.42 and 503.87

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Solution

The fourth proportional to 1,284.07, 1,926.42 and 503.87 is: 755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.07 : 1,926.42 = 503.87 : x
  2. Step 2: Convert to fraction form
    1,284.07/1,926.42 = 503.87/x
  3. Step 3: Cross multiply
    1,284.07x = 1,926.42 × 503.87
  4. Step 4: Simplify right side
    1,284.07x = 970,664.56
  5. Step 5: Solve for x
    x = 970,664.56/1,284.07
  6. Step 6: Final answer
    x = 755.93

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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.