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Finding the Fourth Proportional to 967.84, 1,451.76 and 351.53

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Solution

The fourth proportional to 967.84, 1,451.76 and 351.53 is: 527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,451.76 = 351.53 : x
  2. Step 2: Convert to fraction form
    967.84/1,451.76 = 351.53/x
  3. Step 3: Cross multiply
    967.84x = 1,451.76 × 351.53
  4. Step 4: Simplify right side
    967.84x = 510,337.19
  5. Step 5: Solve for x
    x = 510,337.19/967.84
  6. Step 6: Final answer
    x = 527.30

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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.