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Finding the Fourth Proportional to 982.92, 1,475.19 and 692.55

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Solution

The fourth proportional to 982.92, 1,475.19 and 692.55 is: 1,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.92 : 1,475.19 = 692.55 : x
  2. Step 2: Convert to fraction form
    982.92/1,475.19 = 692.55/x
  3. Step 3: Cross multiply
    982.92x = 1,475.19 × 692.55
  4. Step 4: Simplify right side
    982.92x = 1,021,642.83
  5. Step 5: Solve for x
    x = 1,021,642.83/982.92
  6. Step 6: Final answer
    x = 1,039.40

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Why These Related Problems?

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