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Finding the Fourth Proportional to 1,290.70, 1,781.08 and 766.63

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Solution

The fourth proportional to 1,290.70, 1,781.08 and 766.63 is: 1,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.70 : 1,781.08 = 766.63 : x
  2. Step 2: Convert to fraction form
    1,290.70/1,781.08 = 766.63/x
  3. Step 3: Cross multiply
    1,290.70x = 1,781.08 × 766.63
  4. Step 4: Simplify right side
    1,290.70x = 1,365,429.36
  5. Step 5: Solve for x
    x = 1,365,429.36/1,290.70
  6. Step 6: Final answer
    x = 1,057.90

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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.