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Finding the Fourth Proportional to 645.53, 966.58 and 514.92

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Solution

The fourth proportional to 645.53, 966.58 and 514.92 is: 771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.53 : 966.58 = 514.92 : x
  2. Step 2: Convert to fraction form
    645.53/966.58 = 514.92/x
  3. Step 3: Cross multiply
    645.53x = 966.58 × 514.92
  4. Step 4: Simplify right side
    645.53x = 497,710.09
  5. Step 5: Solve for x
    x = 497,710.09/645.53
  6. Step 6: Final answer
    x = 771.01

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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.