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Finding the Fourth Proportional to 1,026.95, 1,413.62 and 895.73

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Solution

The fourth proportional to 1,026.95, 1,413.62 and 895.73 is: 1,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.95 : 1,413.62 = 895.73 : x
  2. Step 2: Convert to fraction form
    1,026.95/1,413.62 = 895.73/x
  3. Step 3: Cross multiply
    1,026.95x = 1,413.62 × 895.73
  4. Step 4: Simplify right side
    1,026.95x = 1,266,220.55
  5. Step 5: Solve for x
    x = 1,266,220.55/1,026.95
  6. Step 6: Final answer
    x = 1,232.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.