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Finding the Fourth Proportional to 1,040.69, 1,435.18 and 775.72

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Solution

The fourth proportional to 1,040.69, 1,435.18 and 775.72 is: 1,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.69 : 1,435.18 = 775.72 : x
  2. Step 2: Convert to fraction form
    1,040.69/1,435.18 = 775.72/x
  3. Step 3: Cross multiply
    1,040.69x = 1,435.18 × 775.72
  4. Step 4: Simplify right side
    1,040.69x = 1,113,297.68
  5. Step 5: Solve for x
    x = 1,113,297.68/1,040.69
  6. Step 6: Final answer
    x = 1,069.77

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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.