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Finding the Fourth Proportional to 1,388.07, 2,083.12 and 772.29

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Solution

The fourth proportional to 1,388.07, 2,083.12 and 772.29 is: 1,159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.07 : 2,083.12 = 772.29 : x
  2. Step 2: Convert to fraction form
    1,388.07/2,083.12 = 772.29/x
  3. Step 3: Cross multiply
    1,388.07x = 2,083.12 × 772.29
  4. Step 4: Simplify right side
    1,388.07x = 1,608,770.81
  5. Step 5: Solve for x
    x = 1,608,770.81/1,388.07
  6. Step 6: Final answer
    x = 1,159.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.