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Finding the Fourth Proportional to 630.95, 943.68 and 514.58

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Solution

The fourth proportional to 630.95, 943.68 and 514.58 is: 769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.95 : 943.68 = 514.58 : x
  2. Step 2: Convert to fraction form
    630.95/943.68 = 514.58/x
  3. Step 3: Cross multiply
    630.95x = 943.68 × 514.58
  4. Step 4: Simplify right side
    630.95x = 485,598.85
  5. Step 5: Solve for x
    x = 485,598.85/630.95
  6. Step 6: Final answer
    x = 769.63

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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.