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Finding the Fourth Proportional to 1,294.40, 1,941.87 and 472.67

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Solution

The fourth proportional to 1,294.40, 1,941.87 and 472.67 is: 709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.40 : 1,941.87 = 472.67 : x
  2. Step 2: Convert to fraction form
    1,294.40/1,941.87 = 472.67/x
  3. Step 3: Cross multiply
    1,294.40x = 1,941.87 × 472.67
  4. Step 4: Simplify right side
    1,294.40x = 917,853.98
  5. Step 5: Solve for x
    x = 917,853.98/1,294.40
  6. Step 6: Final answer
    x = 709.10

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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.