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Finding the Fourth Proportional to 1,023.88, 1,413.49 and 692.76

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Solution

The fourth proportional to 1,023.88, 1,413.49 and 692.76 is: 956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.88 : 1,413.49 = 692.76 : x
  2. Step 2: Convert to fraction form
    1,023.88/1,413.49 = 692.76/x
  3. Step 3: Cross multiply
    1,023.88x = 1,413.49 × 692.76
  4. Step 4: Simplify right side
    1,023.88x = 979,209.33
  5. Step 5: Solve for x
    x = 979,209.33/1,023.88
  6. Step 6: Final answer
    x = 956.37

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1.5x scale

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.