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Finding the Fourth Proportional to 1,205.68, 1,664.10 and 708.34

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Solution

The fourth proportional to 1,205.68, 1,664.10 and 708.34 is: 977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.68 : 1,664.10 = 708.34 : x
  2. Step 2: Convert to fraction form
    1,205.68/1,664.10 = 708.34/x
  3. Step 3: Cross multiply
    1,205.68x = 1,664.10 × 708.34
  4. Step 4: Simplify right side
    1,205.68x = 1,178,748.59
  5. Step 5: Solve for x
    x = 1,178,748.59/1,205.68
  6. Step 6: Final answer
    x = 977.66

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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.