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Finding the Fourth Proportional to 733.66, 1,085.00 and 733.66

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Solution

The fourth proportional to 733.66, 1,085.00 and 733.66 is: 1,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.66 : 1,085.00 = 733.66 : x
  2. Step 2: Convert to fraction form
    733.66/1,085.00 = 733.66/x
  3. Step 3: Cross multiply
    733.66x = 1,085.00 × 733.66
  4. Step 4: Simplify right side
    733.66x = 796,014.72
  5. Step 5: Solve for x
    x = 796,014.72/733.66
  6. Step 6: Final answer
    x = 1,085.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.