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Finding the Fourth Proportional to 955.71, 1,432.62 and 646.83

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Solution

The fourth proportional to 955.71, 1,432.62 and 646.83 is: 969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.71 : 1,432.62 = 646.83 : x
  2. Step 2: Convert to fraction form
    955.71/1,432.62 = 646.83/x
  3. Step 3: Cross multiply
    955.71x = 1,432.62 × 646.83
  4. Step 4: Simplify right side
    955.71x = 926,661.59
  5. Step 5: Solve for x
    x = 926,661.59/955.71
  6. Step 6: Final answer
    x = 969.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.