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Finding the Fourth Proportional to 1,191.90, 1,644.08 and 766.35

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Solution

The fourth proportional to 1,191.90, 1,644.08 and 766.35 is: 1,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.90 : 1,644.08 = 766.35 : x
  2. Step 2: Convert to fraction form
    1,191.90/1,644.08 = 766.35/x
  3. Step 3: Cross multiply
    1,191.90x = 1,644.08 × 766.35
  4. Step 4: Simplify right side
    1,191.90x = 1,259,940.71
  5. Step 5: Solve for x
    x = 1,259,940.71/1,191.90
  6. Step 6: Final answer
    x = 1,057.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.