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Finding the Fourth Proportional to 1,347.14, 2,021.52 and 525.54

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Solution

The fourth proportional to 1,347.14, 2,021.52 and 525.54 is: 788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.14 : 2,021.52 = 525.54 : x
  2. Step 2: Convert to fraction form
    1,347.14/2,021.52 = 525.54/x
  3. Step 3: Cross multiply
    1,347.14x = 2,021.52 × 525.54
  4. Step 4: Simplify right side
    1,347.14x = 1,062,389.62
  5. Step 5: Solve for x
    x = 1,062,389.62/1,347.14
  6. Step 6: Final answer
    x = 788.63

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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.