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Finding the Fourth Proportional to 953.82, 1,430.73 and 467.21

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Solution

The fourth proportional to 953.82, 1,430.73 and 467.21 is: 700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.82 : 1,430.73 = 467.21 : x
  2. Step 2: Convert to fraction form
    953.82/1,430.73 = 467.21/x
  3. Step 3: Cross multiply
    953.82x = 1,430.73 × 467.21
  4. Step 4: Simplify right side
    953.82x = 668,454.94
  5. Step 5: Solve for x
    x = 668,454.94/953.82
  6. Step 6: Final answer
    x = 700.82

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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.