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Finding the Fourth Proportional to 1,026.89, 1,413.53 and 895.67

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Solution

The fourth proportional to 1,026.89, 1,413.53 and 895.67 is: 1,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.89 : 1,413.53 = 895.67 : x
  2. Step 2: Convert to fraction form
    1,026.89/1,413.53 = 895.67/x
  3. Step 3: Cross multiply
    1,026.89x = 1,413.53 × 895.67
  4. Step 4: Simplify right side
    1,026.89x = 1,266,056.42
  5. Step 5: Solve for x
    x = 1,266,056.42/1,026.89
  6. Step 6: Final answer
    x = 1,232.90

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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.