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Finding the Fourth Proportional to 666.01, 997.53 and 510.79

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Solution

The fourth proportional to 666.01, 997.53 and 510.79 is: 765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.01 : 997.53 = 510.79 : x
  2. Step 2: Convert to fraction form
    666.01/997.53 = 510.79/x
  3. Step 3: Cross multiply
    666.01x = 997.53 × 510.79
  4. Step 4: Simplify right side
    666.01x = 509,528.35
  5. Step 5: Solve for x
    x = 509,528.35/666.01
  6. Step 6: Final answer
    x = 765.05

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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.