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Finding the Fourth Proportional to 1,256.81, 1,884.62 and 465.91

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Solution

The fourth proportional to 1,256.81, 1,884.62 and 465.91 is: 698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.81 : 1,884.62 = 465.91 : x
  2. Step 2: Convert to fraction form
    1,256.81/1,884.62 = 465.91/x
  3. Step 3: Cross multiply
    1,256.81x = 1,884.62 × 465.91
  4. Step 4: Simplify right side
    1,256.81x = 878,063.30
  5. Step 5: Solve for x
    x = 878,063.30/1,256.81
  6. Step 6: Final answer
    x = 698.64

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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.