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Finding the Fourth Proportional to 746.94, 1,031.57 and 467.83

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Solution

The fourth proportional to 746.94, 1,031.57 and 467.83 is: 646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.94 : 1,031.57 = 467.83 : x
  2. Step 2: Convert to fraction form
    746.94/1,031.57 = 467.83/x
  3. Step 3: Cross multiply
    746.94x = 1,031.57 × 467.83
  4. Step 4: Simplify right side
    746.94x = 482,600.10
  5. Step 5: Solve for x
    x = 482,600.10/746.94
  6. Step 6: Final answer
    x = 646.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.