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Finding the Fourth Proportional to 1,252.21, 1,878.42 and 430.54

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Solution

The fourth proportional to 1,252.21, 1,878.42 and 430.54 is: 645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.21 : 1,878.42 = 430.54 : x
  2. Step 2: Convert to fraction form
    1,252.21/1,878.42 = 430.54/x
  3. Step 3: Cross multiply
    1,252.21x = 1,878.42 × 430.54
  4. Step 4: Simplify right side
    1,252.21x = 808,734.95
  5. Step 5: Solve for x
    x = 808,734.95/1,252.21
  6. Step 6: Final answer
    x = 645.85

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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.