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Finding the Fourth Proportional to 1,395.95, 1,926.37 and 766.47

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Solution

The fourth proportional to 1,395.95, 1,926.37 and 766.47 is: 1,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.95 : 1,926.37 = 766.47 : x
  2. Step 2: Convert to fraction form
    1,395.95/1,926.37 = 766.47/x
  3. Step 3: Cross multiply
    1,395.95x = 1,926.37 × 766.47
  4. Step 4: Simplify right side
    1,395.95x = 1,476,502.90
  5. Step 5: Solve for x
    x = 1,476,502.90/1,395.95
  6. Step 6: Final answer
    x = 1,057.71

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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.