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Finding the Fourth Proportional to 1,243.09, 1,714.76 and 770.77

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Solution

The fourth proportional to 1,243.09, 1,714.76 and 770.77 is: 1,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.09 : 1,714.76 = 770.77 : x
  2. Step 2: Convert to fraction form
    1,243.09/1,714.76 = 770.77/x
  3. Step 3: Cross multiply
    1,243.09x = 1,714.76 × 770.77
  4. Step 4: Simplify right side
    1,243.09x = 1,321,681.71
  5. Step 5: Solve for x
    x = 1,321,681.71/1,243.09
  6. Step 6: Final answer
    x = 1,063.22

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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.