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Finding the Fourth Proportional to 1,257.76, 1,886.56 and 380.29

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Solution

The fourth proportional to 1,257.76, 1,886.56 and 380.29 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.76 : 1,886.56 = 380.29 : x
  2. Step 2: Convert to fraction form
    1,257.76/1,886.56 = 380.29/x
  3. Step 3: Cross multiply
    1,257.76x = 1,886.56 × 380.29
  4. Step 4: Simplify right side
    1,257.76x = 717,432.47
  5. Step 5: Solve for x
    x = 717,432.47/1,257.76
  6. Step 6: Final answer
    x = 570.40

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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.