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Finding the Fourth Proportional to 672.20, 1,006.70 and 383.08

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Solution

The fourth proportional to 672.20, 1,006.70 and 383.08 is: 573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.20 : 1,006.70 = 383.08 : x
  2. Step 2: Convert to fraction form
    672.20/1,006.70 = 383.08/x
  3. Step 3: Cross multiply
    672.20x = 1,006.70 × 383.08
  4. Step 4: Simplify right side
    672.20x = 385,646.64
  5. Step 5: Solve for x
    x = 385,646.64/672.20
  6. Step 6: Final answer
    x = 573.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.