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Finding the Fourth Proportional to 1,205.83, 1,664.19 and 708.51

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Solution

The fourth proportional to 1,205.83, 1,664.19 and 708.51 is: 977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.83 : 1,664.19 = 708.51 : x
  2. Step 2: Convert to fraction form
    1,205.83/1,664.19 = 708.51/x
  3. Step 3: Cross multiply
    1,205.83x = 1,664.19 × 708.51
  4. Step 4: Simplify right side
    1,205.83x = 1,179,095.26
  5. Step 5: Solve for x
    x = 1,179,095.26/1,205.83
  6. Step 6: Final answer
    x = 977.83

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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.