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Finding the Fourth Proportional to 1,257.78, 1,886.40 and 477.75

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Solution

The fourth proportional to 1,257.78, 1,886.40 and 477.75 is: 716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.78 : 1,886.40 = 477.75 : x
  2. Step 2: Convert to fraction form
    1,257.78/1,886.40 = 477.75/x
  3. Step 3: Cross multiply
    1,257.78x = 1,886.40 × 477.75
  4. Step 4: Simplify right side
    1,257.78x = 901,227.60
  5. Step 5: Solve for x
    x = 901,227.60/1,257.78
  6. Step 6: Final answer
    x = 716.52

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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.