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Finding the Fourth Proportional to 1,156.63, 1,733.65 and 462.33

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Solution

The fourth proportional to 1,156.63, 1,733.65 and 462.33 is: 692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.63 : 1,733.65 = 462.33 : x
  2. Step 2: Convert to fraction form
    1,156.63/1,733.65 = 462.33/x
  3. Step 3: Cross multiply
    1,156.63x = 1,733.65 × 462.33
  4. Step 4: Simplify right side
    1,156.63x = 801,524.73
  5. Step 5: Solve for x
    x = 801,524.73/1,156.63
  6. Step 6: Final answer
    x = 692.98

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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.