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Finding the Fourth Proportional to 1,403.34, 2,104.68 and 429.18

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Solution

The fourth proportional to 1,403.34, 2,104.68 and 429.18 is: 643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.34 : 2,104.68 = 429.18 : x
  2. Step 2: Convert to fraction form
    1,403.34/2,104.68 = 429.18/x
  3. Step 3: Cross multiply
    1,403.34x = 2,104.68 × 429.18
  4. Step 4: Simplify right side
    1,403.34x = 903,286.56
  5. Step 5: Solve for x
    x = 903,286.56/1,403.34
  6. Step 6: Final answer
    x = 643.67

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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.