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Finding the Fourth Proportional to 1,708.92, 2,564.02 and 683

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Solution

The fourth proportional to 1,708.92, 2,564.02 and 683 is: 1,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.92 : 2,564.02 = 683 : x
  2. Step 2: Convert to fraction form
    1,708.92/2,564.02 = 683/x
  3. Step 3: Cross multiply
    1,708.92x = 2,564.02 × 683
  4. Step 4: Simplify right side
    1,708.92x = 1,751,225.66
  5. Step 5: Solve for x
    x = 1,751,225.66/1,708.92
  6. Step 6: Final answer
    x = 1,024.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.