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Finding the Fourth Proportional to 1,277.73, 1,763.13 and 746.48

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Solution

The fourth proportional to 1,277.73, 1,763.13 and 746.48 is: 1,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.73 : 1,763.13 = 746.48 : x
  2. Step 2: Convert to fraction form
    1,277.73/1,763.13 = 746.48/x
  3. Step 3: Cross multiply
    1,277.73x = 1,763.13 × 746.48
  4. Step 4: Simplify right side
    1,277.73x = 1,316,132.47
  5. Step 5: Solve for x
    x = 1,316,132.47/1,277.73
  6. Step 6: Final answer
    x = 1,030.06

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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.