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Finding the Fourth Proportional to 1,023.32, 1,413.09 and 692.97

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Solution

The fourth proportional to 1,023.32, 1,413.09 and 692.97 is: 956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.32 : 1,413.09 = 692.97 : x
  2. Step 2: Convert to fraction form
    1,023.32/1,413.09 = 692.97/x
  3. Step 3: Cross multiply
    1,023.32x = 1,413.09 × 692.97
  4. Step 4: Simplify right side
    1,023.32x = 979,228.98
  5. Step 5: Solve for x
    x = 979,228.98/1,023.32
  6. Step 6: Final answer
    x = 956.92

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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.