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Finding the Fourth Proportional to 949.16, 1,424.34 and 461.95

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Solution

The fourth proportional to 949.16, 1,424.34 and 461.95 is: 693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.16 : 1,424.34 = 461.95 : x
  2. Step 2: Convert to fraction form
    949.16/1,424.34 = 461.95/x
  3. Step 3: Cross multiply
    949.16x = 1,424.34 × 461.95
  4. Step 4: Simplify right side
    949.16x = 657,970.30
  5. Step 5: Solve for x
    x = 657,970.30/949.16
  6. Step 6: Final answer
    x = 693.21

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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.