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Finding the Fourth Proportional to 1,347.56, 2,020.81 and 525.63

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Solution

The fourth proportional to 1,347.56, 2,020.81 and 525.63 is: 788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.56 : 2,020.81 = 525.63 : x
  2. Step 2: Convert to fraction form
    1,347.56/2,020.81 = 525.63/x
  3. Step 3: Cross multiply
    1,347.56x = 2,020.81 × 525.63
  4. Step 4: Simplify right side
    1,347.56x = 1,062,198.36
  5. Step 5: Solve for x
    x = 1,062,198.36/1,347.56
  6. Step 6: Final answer
    x = 788.24

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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.