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Finding the Fourth Proportional to 733.58, 1,012.33 and 402.00

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Solution

The fourth proportional to 733.58, 1,012.33 and 402.00 is: 554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.58 : 1,012.33 = 402.00 : x
  2. Step 2: Convert to fraction form
    733.58/1,012.33 = 402.00/x
  3. Step 3: Cross multiply
    733.58x = 1,012.33 × 402.00
  4. Step 4: Simplify right side
    733.58x = 406,961.91
  5. Step 5: Solve for x
    x = 406,961.91/733.58
  6. Step 6: Final answer
    x = 554.76

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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.