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Finding the Fourth Proportional to 1,257.84, 1,886.40 and 391.92

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Solution

The fourth proportional to 1,257.84, 1,886.40 and 391.92 is: 587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.84 : 1,886.40 = 391.92 : x
  2. Step 2: Convert to fraction form
    1,257.84/1,886.40 = 391.92/x
  3. Step 3: Cross multiply
    1,257.84x = 1,886.40 × 391.92
  4. Step 4: Simplify right side
    1,257.84x = 739,317.89
  5. Step 5: Solve for x
    x = 739,317.89/1,257.84
  6. Step 6: Final answer
    x = 587.77

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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.