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Finding the Fourth Proportional to 1,205.72, 1,663.34 and 708.35

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Solution

The fourth proportional to 1,205.72, 1,663.34 and 708.35 is: 977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.72 : 1,663.34 = 708.35 : x
  2. Step 2: Convert to fraction form
    1,205.72/1,663.34 = 708.35/x
  3. Step 3: Cross multiply
    1,205.72x = 1,663.34 × 708.35
  4. Step 4: Simplify right side
    1,205.72x = 1,178,215.03
  5. Step 5: Solve for x
    x = 1,178,215.03/1,205.72
  6. Step 6: Final answer
    x = 977.19

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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.