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Finding the Fourth Proportional to 708.33, 973.72 and 632.85

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Solution

The fourth proportional to 708.33, 973.72 and 632.85 is: 869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.33 : 973.72 = 632.85 : x
  2. Step 2: Convert to fraction form
    708.33/973.72 = 632.85/x
  3. Step 3: Cross multiply
    708.33x = 973.72 × 632.85
  4. Step 4: Simplify right side
    708.33x = 616,215.54
  5. Step 5: Solve for x
    x = 616,215.54/708.33
  6. Step 6: Final answer
    x = 869.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.