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Finding the Fourth Proportional to 1,294.72, 1,941.62 and 417.18

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Solution

The fourth proportional to 1,294.72, 1,941.62 and 417.18 is: 625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.72 : 1,941.62 = 417.18 : x
  2. Step 2: Convert to fraction form
    1,294.72/1,941.62 = 417.18/x
  3. Step 3: Cross multiply
    1,294.72x = 1,941.62 × 417.18
  4. Step 4: Simplify right side
    1,294.72x = 810,002.95
  5. Step 5: Solve for x
    x = 810,002.95/1,294.72
  6. Step 6: Final answer
    x = 625.62

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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.