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Finding the Fourth Proportional to 1,252.62, 1,878.66 and 472.60

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Solution

The fourth proportional to 1,252.62, 1,878.66 and 472.60 is: 708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.62 : 1,878.66 = 472.60 : x
  2. Step 2: Convert to fraction form
    1,252.62/1,878.66 = 472.60/x
  3. Step 3: Cross multiply
    1,252.62x = 1,878.66 × 472.60
  4. Step 4: Simplify right side
    1,252.62x = 887,854.72
  5. Step 5: Solve for x
    x = 887,854.72/1,252.62
  6. Step 6: Final answer
    x = 708.80

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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.