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Finding the Fourth Proportional to 967.80, 1,451.64 and 419.58

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Solution

The fourth proportional to 967.80, 1,451.64 and 419.58 is: 629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.80 : 1,451.64 = 419.58 : x
  2. Step 2: Convert to fraction form
    967.80/1,451.64 = 419.58/x
  3. Step 3: Cross multiply
    967.80x = 1,451.64 × 419.58
  4. Step 4: Simplify right side
    967.80x = 609,079.11
  5. Step 5: Solve for x
    x = 609,079.11/967.80
  6. Step 6: Final answer
    x = 629.34

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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.