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Finding the Fourth Proportional to 1,205.42, 1,663.39 and 708.08

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Solution

The fourth proportional to 1,205.42, 1,663.39 and 708.08 is: 977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.42 : 1,663.39 = 708.08 : x
  2. Step 2: Convert to fraction form
    1,205.42/1,663.39 = 708.08/x
  3. Step 3: Cross multiply
    1,205.42x = 1,663.39 × 708.08
  4. Step 4: Simplify right side
    1,205.42x = 1,177,803.10
  5. Step 5: Solve for x
    x = 1,177,803.10/1,205.42
  6. Step 6: Final answer
    x = 977.09

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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.