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Finding the Fourth Proportional to 1,413.60, 1,948.92 and 1,020.72

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Solution

The fourth proportional to 1,413.60, 1,948.92 and 1,020.72 is: 1,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.60 : 1,948.92 = 1,020.72 : x
  2. Step 2: Convert to fraction form
    1,413.60/1,948.92 = 1,020.72/x
  3. Step 3: Cross multiply
    1,413.60x = 1,948.92 × 1,020.72
  4. Step 4: Simplify right side
    1,413.60x = 1,989,301.62
  5. Step 5: Solve for x
    x = 1,989,301.62/1,413.60
  6. Step 6: Final answer
    x = 1,407.26

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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.