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Finding the Fourth Proportional to 1,252.67, 1,878.69 and 472.74

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Solution

The fourth proportional to 1,252.67, 1,878.69 and 472.74 is: 708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.67 : 1,878.69 = 472.74 : x
  2. Step 2: Convert to fraction form
    1,252.67/1,878.69 = 472.74/x
  3. Step 3: Cross multiply
    1,252.67x = 1,878.69 × 472.74
  4. Step 4: Simplify right side
    1,252.67x = 888,126.64
  5. Step 5: Solve for x
    x = 888,126.64/1,252.67
  6. Step 6: Final answer
    x = 708.99

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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.