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Finding the Fourth Proportional to 666.49, 999.73 and 513.40

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Solution

The fourth proportional to 666.49, 999.73 and 513.40 is: 770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.49 : 999.73 = 513.40 : x
  2. Step 2: Convert to fraction form
    666.49/999.73 = 513.40/x
  3. Step 3: Cross multiply
    666.49x = 999.73 × 513.40
  4. Step 4: Simplify right side
    666.49x = 513,261.38
  5. Step 5: Solve for x
    x = 513,261.38/666.49
  6. Step 6: Final answer
    x = 770.10

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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.