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Finding the Fourth Proportional to 643.95, 966.74 and 507.47

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Solution

The fourth proportional to 643.95, 966.74 and 507.47 is: 761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.95 : 966.74 = 507.47 : x
  2. Step 2: Convert to fraction form
    643.95/966.74 = 507.47/x
  3. Step 3: Cross multiply
    643.95x = 966.74 × 507.47
  4. Step 4: Simplify right side
    643.95x = 490,584.18
  5. Step 5: Solve for x
    x = 490,584.18/643.95
  6. Step 6: Final answer
    x = 761.84

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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.