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Finding the Fourth Proportional to 623.10, 934.81 and 514.70

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Solution

The fourth proportional to 623.10, 934.81 and 514.70 is: 772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.10 : 934.81 = 514.70 : x
  2. Step 2: Convert to fraction form
    623.10/934.81 = 514.70/x
  3. Step 3: Cross multiply
    623.10x = 934.81 × 514.70
  4. Step 4: Simplify right side
    623.10x = 481,140.75
  5. Step 5: Solve for x
    x = 481,140.75/623.10
  6. Step 6: Final answer
    x = 772.17

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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.