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Finding the Fourth Proportional to 1,290.69, 1,780.32 and 793.17

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Solution

The fourth proportional to 1,290.69, 1,780.32 and 793.17 is: 1,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.69 : 1,780.32 = 793.17 : x
  2. Step 2: Convert to fraction form
    1,290.69/1,780.32 = 793.17/x
  3. Step 3: Cross multiply
    1,290.69x = 1,780.32 × 793.17
  4. Step 4: Simplify right side
    1,290.69x = 1,412,096.41
  5. Step 5: Solve for x
    x = 1,412,096.41/1,290.69
  6. Step 6: Final answer
    x = 1,094.06

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