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Finding the Fourth Proportional to 1,257.95, 1,887.01 and 477.79

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Solution

The fourth proportional to 1,257.95, 1,887.01 and 477.79 is: 716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.95 : 1,887.01 = 477.79 : x
  2. Step 2: Convert to fraction form
    1,257.95/1,887.01 = 477.79/x
  3. Step 3: Cross multiply
    1,257.95x = 1,887.01 × 477.79
  4. Step 4: Simplify right side
    1,257.95x = 901,588.60
  5. Step 5: Solve for x
    x = 901,588.60/1,257.95
  6. Step 6: Final answer
    x = 716.71

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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.