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Finding the Fourth Proportional to 1,284.68, 1,771.65 and 1,035.87

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Solution

The fourth proportional to 1,284.68, 1,771.65 and 1,035.87 is: 1,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.68 : 1,771.65 = 1,035.87 : x
  2. Step 2: Convert to fraction form
    1,284.68/1,771.65 = 1,035.87/x
  3. Step 3: Cross multiply
    1,284.68x = 1,771.65 × 1,035.87
  4. Step 4: Simplify right side
    1,284.68x = 1,835,199.09
  5. Step 5: Solve for x
    x = 1,835,199.09/1,284.68
  6. Step 6: Final answer
    x = 1,428.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.