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Finding the Fourth Proportional to 1,283.16, 1,768.72 and 1,114.68

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Solution

The fourth proportional to 1,283.16, 1,768.72 and 1,114.68 is: 1,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.16 : 1,768.72 = 1,114.68 : x
  2. Step 2: Convert to fraction form
    1,283.16/1,768.72 = 1,114.68/x
  3. Step 3: Cross multiply
    1,283.16x = 1,768.72 × 1,114.68
  4. Step 4: Simplify right side
    1,283.16x = 1,971,556.81
  5. Step 5: Solve for x
    x = 1,971,556.81/1,283.16
  6. Step 6: Final answer
    x = 1,536.49

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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.