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Finding the Fourth Proportional to 1,708.83, 2,358.42 and 963.09

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Solution

The fourth proportional to 1,708.83, 2,358.42 and 963.09 is: 1,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.83 : 2,358.42 = 963.09 : x
  2. Step 2: Convert to fraction form
    1,708.83/2,358.42 = 963.09/x
  3. Step 3: Cross multiply
    1,708.83x = 2,358.42 × 963.09
  4. Step 4: Simplify right side
    1,708.83x = 2,271,370.72
  5. Step 5: Solve for x
    x = 2,271,370.72/1,708.83
  6. Step 6: Final answer
    x = 1,329.20

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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.