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Finding the Fourth Proportional to 1,007.64, 1,511.64 and 767.16

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Solution

The fourth proportional to 1,007.64, 1,511.64 and 767.16 is: 1,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.64 : 1,511.64 = 767.16 : x
  2. Step 2: Convert to fraction form
    1,007.64/1,511.64 = 767.16/x
  3. Step 3: Cross multiply
    1,007.64x = 1,511.64 × 767.16
  4. Step 4: Simplify right side
    1,007.64x = 1,159,669.74
  5. Step 5: Solve for x
    x = 1,159,669.74/1,007.64
  6. Step 6: Final answer
    x = 1,150.88

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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.