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Finding the Fourth Proportional to 1,205.65, 1,663.93 and 708.46

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Solution

The fourth proportional to 1,205.65, 1,663.93 and 708.46 is: 977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.65 : 1,663.93 = 708.46 : x
  2. Step 2: Convert to fraction form
    1,205.65/1,663.93 = 708.46/x
  3. Step 3: Cross multiply
    1,205.65x = 1,663.93 × 708.46
  4. Step 4: Simplify right side
    1,205.65x = 1,178,824.57
  5. Step 5: Solve for x
    x = 1,178,824.57/1,205.65
  6. Step 6: Final answer
    x = 977.75

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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.