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Finding the Fourth Proportional to 1,205.74, 1,663.94 and 708.39

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Solution

The fourth proportional to 1,205.74, 1,663.94 and 708.39 is: 977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.74 : 1,663.94 = 708.39 : x
  2. Step 2: Convert to fraction form
    1,205.74/1,663.94 = 708.39/x
  3. Step 3: Cross multiply
    1,205.74x = 1,663.94 × 708.39
  4. Step 4: Simplify right side
    1,205.74x = 1,178,718.46
  5. Step 5: Solve for x
    x = 1,178,718.46/1,205.74
  6. Step 6: Final answer
    x = 977.59

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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.