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Finding the Fourth Proportional to 730.24, 1,093.41 and 576.46

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Solution

The fourth proportional to 730.24, 1,093.41 and 576.46 is: 863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.24 : 1,093.41 = 576.46 : x
  2. Step 2: Convert to fraction form
    730.24/1,093.41 = 576.46/x
  3. Step 3: Cross multiply
    730.24x = 1,093.41 × 576.46
  4. Step 4: Simplify right side
    730.24x = 630,307.13
  5. Step 5: Solve for x
    x = 630,307.13/730.24
  6. Step 6: Final answer
    x = 863.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.