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Finding the Fourth Proportional to 733.76, 1,013.00 and 485.67

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Solution

The fourth proportional to 733.76, 1,013.00 and 485.67 is: 670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.76 : 1,013.00 = 485.67 : x
  2. Step 2: Convert to fraction form
    733.76/1,013.00 = 485.67/x
  3. Step 3: Cross multiply
    733.76x = 1,013.00 × 485.67
  4. Step 4: Simplify right side
    733.76x = 491,981.28
  5. Step 5: Solve for x
    x = 491,981.28/733.76
  6. Step 6: Final answer
    x = 670.50

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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.