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Finding the Fourth Proportional to 650.70, 975.16 and 467.70

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Solution

The fourth proportional to 650.70, 975.16 and 467.70 is: 700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.70 : 975.16 = 467.70 : x
  2. Step 2: Convert to fraction form
    650.70/975.16 = 467.70/x
  3. Step 3: Cross multiply
    650.70x = 975.16 × 467.70
  4. Step 4: Simplify right side
    650.70x = 456,082.33
  5. Step 5: Solve for x
    x = 456,082.33/650.70
  6. Step 6: Final answer
    x = 700.91

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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.