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Finding the Fourth Proportional to 1,252.45, 1,878.68 and 430.71

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Solution

The fourth proportional to 1,252.45, 1,878.68 and 430.71 is: 646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.45 : 1,878.68 = 430.71 : x
  2. Step 2: Convert to fraction form
    1,252.45/1,878.68 = 430.71/x
  3. Step 3: Cross multiply
    1,252.45x = 1,878.68 × 430.71
  4. Step 4: Simplify right side
    1,252.45x = 809,166.26
  5. Step 5: Solve for x
    x = 809,166.26/1,252.45
  6. Step 6: Final answer
    x = 646.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.