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Finding the Fourth Proportional to 733.68, 1,011.41 and 558.72

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Solution

The fourth proportional to 733.68, 1,011.41 and 558.72 is: 770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,011.41 = 558.72 : x
  2. Step 2: Convert to fraction form
    733.68/1,011.41 = 558.72/x
  3. Step 3: Cross multiply
    733.68x = 1,011.41 × 558.72
  4. Step 4: Simplify right side
    733.68x = 565,095.00
  5. Step 5: Solve for x
    x = 565,095.00/733.68
  6. Step 6: Final answer
    x = 770.22

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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.