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Finding the Fourth Proportional to 1,257.40, 1,883.35 and 606.77

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Solution

The fourth proportional to 1,257.40, 1,883.35 and 606.77 is: 908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.40 : 1,883.35 = 606.77 : x
  2. Step 2: Convert to fraction form
    1,257.40/1,883.35 = 606.77/x
  3. Step 3: Cross multiply
    1,257.40x = 1,883.35 × 606.77
  4. Step 4: Simplify right side
    1,257.40x = 1,142,760.28
  5. Step 5: Solve for x
    x = 1,142,760.28/1,257.40
  6. Step 6: Final answer
    x = 908.83

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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.