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Finding the Fourth Proportional to 1,252.43, 1,878.26 and 471.86

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Solution

The fourth proportional to 1,252.43, 1,878.26 and 471.86 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.43 : 1,878.26 = 471.86 : x
  2. Step 2: Convert to fraction form
    1,252.43/1,878.26 = 471.86/x
  3. Step 3: Cross multiply
    1,252.43x = 1,878.26 × 471.86
  4. Step 4: Simplify right side
    1,252.43x = 886,264.01
  5. Step 5: Solve for x
    x = 886,264.01/1,252.43
  6. Step 6: Final answer
    x = 707.64

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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.