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Finding the Fourth Proportional to 1,015.72, 1,402.18 and 767.14

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Solution

The fourth proportional to 1,015.72, 1,402.18 and 767.14 is: 1,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.72 : 1,402.18 = 767.14 : x
  2. Step 2: Convert to fraction form
    1,015.72/1,402.18 = 767.14/x
  3. Step 3: Cross multiply
    1,015.72x = 1,402.18 × 767.14
  4. Step 4: Simplify right side
    1,015.72x = 1,075,668.37
  5. Step 5: Solve for x
    x = 1,075,668.37/1,015.72
  6. Step 6: Final answer
    x = 1,059.02

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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.