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Finding the Fourth Proportional to 733.32, 1,012.02 and 434.67

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Solution

The fourth proportional to 733.32, 1,012.02 and 434.67 is: 599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.32 : 1,012.02 = 434.67 : x
  2. Step 2: Convert to fraction form
    733.32/1,012.02 = 434.67/x
  3. Step 3: Cross multiply
    733.32x = 1,012.02 × 434.67
  4. Step 4: Simplify right side
    733.32x = 439,894.73
  5. Step 5: Solve for x
    x = 439,894.73/733.32
  6. Step 6: Final answer
    x = 599.87

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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.