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Finding the Fourth Proportional to 1,325.51, 1,829.21 and 766.29

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Solution

The fourth proportional to 1,325.51, 1,829.21 and 766.29 is: 1,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.51 : 1,829.21 = 766.29 : x
  2. Step 2: Convert to fraction form
    1,325.51/1,829.21 = 766.29/x
  3. Step 3: Cross multiply
    1,325.51x = 1,829.21 × 766.29
  4. Step 4: Simplify right side
    1,325.51x = 1,401,701.50
  5. Step 5: Solve for x
    x = 1,401,701.50/1,325.51
  6. Step 6: Final answer
    x = 1,057.48

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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.