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Finding the Fourth Proportional to 653.52, 973.67 and 638.94

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Solution

The fourth proportional to 653.52, 973.67 and 638.94 is: 951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 973.67 = 638.94 : x
  2. Step 2: Convert to fraction form
    653.52/973.67 = 638.94/x
  3. Step 3: Cross multiply
    653.52x = 973.67 × 638.94
  4. Step 4: Simplify right side
    653.52x = 622,116.71
  5. Step 5: Solve for x
    x = 622,116.71/653.52
  6. Step 6: Final answer
    x = 951.95

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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.