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Finding the Fourth Proportional to 1,356.57, 2,032.12 and 705.94

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Solution

The fourth proportional to 1,356.57, 2,032.12 and 705.94 is: 1,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.57 : 2,032.12 = 705.94 : x
  2. Step 2: Convert to fraction form
    1,356.57/2,032.12 = 705.94/x
  3. Step 3: Cross multiply
    1,356.57x = 2,032.12 × 705.94
  4. Step 4: Simplify right side
    1,356.57x = 1,434,550.59
  5. Step 5: Solve for x
    x = 1,434,550.59/1,356.57
  6. Step 6: Final answer
    x = 1,057.48

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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.