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Finding the Fourth Proportional to 817.81, 1,221.51 and 708.46

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Solution

The fourth proportional to 817.81, 1,221.51 and 708.46 is: 1,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.81 : 1,221.51 = 708.46 : x
  2. Step 2: Convert to fraction form
    817.81/1,221.51 = 708.46/x
  3. Step 3: Cross multiply
    817.81x = 1,221.51 × 708.46
  4. Step 4: Simplify right side
    817.81x = 865,390.49
  5. Step 5: Solve for x
    x = 865,390.49/817.81
  6. Step 6: Final answer
    x = 1,058.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.