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Finding the Fourth Proportional to 1,256.97, 1,883.73 and 948.57

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Solution

The fourth proportional to 1,256.97, 1,883.73 and 948.57 is: 1,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.97 : 1,883.73 = 948.57 : x
  2. Step 2: Convert to fraction form
    1,256.97/1,883.73 = 948.57/x
  3. Step 3: Cross multiply
    1,256.97x = 1,883.73 × 948.57
  4. Step 4: Simplify right side
    1,256.97x = 1,786,849.77
  5. Step 5: Solve for x
    x = 1,786,849.77/1,256.97
  6. Step 6: Final answer
    x = 1,421.55

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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.