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Finding the Fourth Proportional to 948.56, 1,413.12 and 913.72

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Solution

The fourth proportional to 948.56, 1,413.12 and 913.72 is: 1,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.56 : 1,413.12 = 913.72 : x
  2. Step 2: Convert to fraction form
    948.56/1,413.12 = 913.72/x
  3. Step 3: Cross multiply
    948.56x = 1,413.12 × 913.72
  4. Step 4: Simplify right side
    948.56x = 1,291,196.01
  5. Step 5: Solve for x
    x = 1,291,196.01/948.56
  6. Step 6: Final answer
    x = 1,361.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.