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Finding the Fourth Proportional to 1,257.68, 1,884.90 and 526.26

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Solution

The fourth proportional to 1,257.68, 1,884.90 and 526.26 is: 788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.68 : 1,884.90 = 526.26 : x
  2. Step 2: Convert to fraction form
    1,257.68/1,884.90 = 526.26/x
  3. Step 3: Cross multiply
    1,257.68x = 1,884.90 × 526.26
  4. Step 4: Simplify right side
    1,257.68x = 991,947.47
  5. Step 5: Solve for x
    x = 991,947.47/1,257.68
  6. Step 6: Final answer
    x = 788.71

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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.