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Finding the Fourth Proportional to 1,191.98, 1,788.28 and 461.77

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Solution

The fourth proportional to 1,191.98, 1,788.28 and 461.77 is: 692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.98 : 1,788.28 = 461.77 : x
  2. Step 2: Convert to fraction form
    1,191.98/1,788.28 = 461.77/x
  3. Step 3: Cross multiply
    1,191.98x = 1,788.28 × 461.77
  4. Step 4: Simplify right side
    1,191.98x = 825,768.43
  5. Step 5: Solve for x
    x = 825,768.43/1,191.98
  6. Step 6: Final answer
    x = 692.77

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1.5x scale

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.