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Finding the Fourth Proportional to 1,205.62, 1,663.76 and 708.28

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Solution

The fourth proportional to 1,205.62, 1,663.76 and 708.28 is: 977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.62 : 1,663.76 = 708.28 : x
  2. Step 2: Convert to fraction form
    1,205.62/1,663.76 = 708.28/x
  3. Step 3: Cross multiply
    1,205.62x = 1,663.76 × 708.28
  4. Step 4: Simplify right side
    1,205.62x = 1,178,405.54
  5. Step 5: Solve for x
    x = 1,178,405.54/1,205.62
  6. Step 6: Final answer
    x = 977.43

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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.