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Finding the Fourth Proportional to 963.46, 1,323.80 and 766.63

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Solution

The fourth proportional to 963.46, 1,323.80 and 766.63 is: 1,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.46 : 1,323.80 = 766.63 : x
  2. Step 2: Convert to fraction form
    963.46/1,323.80 = 766.63/x
  3. Step 3: Cross multiply
    963.46x = 1,323.80 × 766.63
  4. Step 4: Simplify right side
    963.46x = 1,014,864.79
  5. Step 5: Solve for x
    x = 1,014,864.79/963.46
  6. Step 6: Final answer
    x = 1,053.35

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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.