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Finding the Fourth Proportional to 1,347.14, 2,021.63 and 525.41

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Solution

The fourth proportional to 1,347.14, 2,021.63 and 525.41 is: 788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.14 : 2,021.63 = 525.41 : x
  2. Step 2: Convert to fraction form
    1,347.14/2,021.63 = 525.41/x
  3. Step 3: Cross multiply
    1,347.14x = 2,021.63 × 525.41
  4. Step 4: Simplify right side
    1,347.14x = 1,062,171.88
  5. Step 5: Solve for x
    x = 1,062,171.88/1,347.14
  6. Step 6: Final answer
    x = 788.47

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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.