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Finding the Fourth Proportional to 1,413.48, 2,118.30 and 899.56

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Solution

The fourth proportional to 1,413.48, 2,118.30 and 899.56 is: 1,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.48 : 2,118.30 = 899.56 : x
  2. Step 2: Convert to fraction form
    1,413.48/2,118.30 = 899.56/x
  3. Step 3: Cross multiply
    1,413.48x = 2,118.30 × 899.56
  4. Step 4: Simplify right side
    1,413.48x = 1,905,537.95
  5. Step 5: Solve for x
    x = 1,905,537.95/1,413.48
  6. Step 6: Final answer
    x = 1,348.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.