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Finding the Fourth Proportional to 1,475.09, 2,211.87 and 434.96

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Solution

The fourth proportional to 1,475.09, 2,211.87 and 434.96 is: 652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.09 : 2,211.87 = 434.96 : x
  2. Step 2: Convert to fraction form
    1,475.09/2,211.87 = 434.96/x
  3. Step 3: Cross multiply
    1,475.09x = 2,211.87 × 434.96
  4. Step 4: Simplify right side
    1,475.09x = 962,074.98
  5. Step 5: Solve for x
    x = 962,074.98/1,475.09
  6. Step 6: Final answer
    x = 652.21

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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.