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Finding the Fourth Proportional to 968.74, 1,452.84 and 692.56

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Solution

The fourth proportional to 968.74, 1,452.84 and 692.56 is: 1,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.74 : 1,452.84 = 692.56 : x
  2. Step 2: Convert to fraction form
    968.74/1,452.84 = 692.56/x
  3. Step 3: Cross multiply
    968.74x = 1,452.84 × 692.56
  4. Step 4: Simplify right side
    968.74x = 1,006,178.87
  5. Step 5: Solve for x
    x = 1,006,178.87/968.74
  6. Step 6: Final answer
    x = 1,038.65

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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.