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Finding the Fourth Proportional to 1,177.76, 1,629.98 and 1,012.52

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Solution

The fourth proportional to 1,177.76, 1,629.98 and 1,012.52 is: 1,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.76 : 1,629.98 = 1,012.52 : x
  2. Step 2: Convert to fraction form
    1,177.76/1,629.98 = 1,012.52/x
  3. Step 3: Cross multiply
    1,177.76x = 1,629.98 × 1,012.52
  4. Step 4: Simplify right side
    1,177.76x = 1,650,374.14
  5. Step 5: Solve for x
    x = 1,650,374.14/1,177.76
  6. Step 6: Final answer
    x = 1,401.29

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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.