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Finding the Fourth Proportional to 733.64, 1,012.37 and 402.06

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Solution

The fourth proportional to 733.64, 1,012.37 and 402.06 is: 554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.64 : 1,012.37 = 402.06 : x
  2. Step 2: Convert to fraction form
    733.64/1,012.37 = 402.06/x
  3. Step 3: Cross multiply
    733.64x = 1,012.37 × 402.06
  4. Step 4: Simplify right side
    733.64x = 407,031.47
  5. Step 5: Solve for x
    x = 407,031.47/733.64
  6. Step 6: Final answer
    x = 554.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.