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Finding the Fourth Proportional to 1,257.22, 1,886.10 and 379.79

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Solution

The fourth proportional to 1,257.22, 1,886.10 and 379.79 is: 569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.22 : 1,886.10 = 379.79 : x
  2. Step 2: Convert to fraction form
    1,257.22/1,886.10 = 379.79/x
  3. Step 3: Cross multiply
    1,257.22x = 1,886.10 × 379.79
  4. Step 4: Simplify right side
    1,257.22x = 716,323.81
  5. Step 5: Solve for x
    x = 716,323.81/1,257.22
  6. Step 6: Final answer
    x = 569.77

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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.