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Finding the Fourth Proportional to 1,003.42, 1,506.21 and 418.83

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Solution

The fourth proportional to 1,003.42, 1,506.21 and 418.83 is: 628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.42 : 1,506.21 = 418.83 : x
  2. Step 2: Convert to fraction form
    1,003.42/1,506.21 = 418.83/x
  3. Step 3: Cross multiply
    1,003.42x = 1,506.21 × 418.83
  4. Step 4: Simplify right side
    1,003.42x = 630,838.40
  5. Step 5: Solve for x
    x = 630,838.40/1,003.42
  6. Step 6: Final answer
    x = 628.69

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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.