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Finding the Fourth Proportional to 1,446.18, 2,169.45 and 471.95

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Solution

The fourth proportional to 1,446.18, 2,169.45 and 471.95 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.18 : 2,169.45 = 471.95 : x
  2. Step 2: Convert to fraction form
    1,446.18/2,169.45 = 471.95/x
  3. Step 3: Cross multiply
    1,446.18x = 2,169.45 × 471.95
  4. Step 4: Simplify right side
    1,446.18x = 1,023,871.93
  5. Step 5: Solve for x
    x = 1,023,871.93/1,446.18
  6. Step 6: Final answer
    x = 707.98

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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.