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Finding the Fourth Proportional to 1,708.99, 2,358.42 and 962.97

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Solution

The fourth proportional to 1,708.99, 2,358.42 and 962.97 is: 1,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.99 : 2,358.42 = 962.97 : x
  2. Step 2: Convert to fraction form
    1,708.99/2,358.42 = 962.97/x
  3. Step 3: Cross multiply
    1,708.99x = 2,358.42 × 962.97
  4. Step 4: Simplify right side
    1,708.99x = 2,271,087.71
  5. Step 5: Solve for x
    x = 2,271,087.71/1,708.99
  6. Step 6: Final answer
    x = 1,328.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.