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Finding the Fourth Proportional to 1,356.15, 1,871.33 and 766.68

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Solution

The fourth proportional to 1,356.15, 1,871.33 and 766.68 is: 1,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.15 : 1,871.33 = 766.68 : x
  2. Step 2: Convert to fraction form
    1,356.15/1,871.33 = 766.68/x
  3. Step 3: Cross multiply
    1,356.15x = 1,871.33 × 766.68
  4. Step 4: Simplify right side
    1,356.15x = 1,434,711.28
  5. Step 5: Solve for x
    x = 1,434,711.28/1,356.15
  6. Step 6: Final answer
    x = 1,057.93

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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.