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Finding the Fourth Proportional to 1,252.69, 1,878.62 and 430.94

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Solution

The fourth proportional to 1,252.69, 1,878.62 and 430.94 is: 646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.69 : 1,878.62 = 430.94 : x
  2. Step 2: Convert to fraction form
    1,252.69/1,878.62 = 430.94/x
  3. Step 3: Cross multiply
    1,252.69x = 1,878.62 × 430.94
  4. Step 4: Simplify right side
    1,252.69x = 809,570.35
  5. Step 5: Solve for x
    x = 809,570.35/1,252.69
  6. Step 6: Final answer
    x = 646.27

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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.