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Finding the Fourth Proportional to 1,256.14, 1,884.28 and 525.78

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Solution

The fourth proportional to 1,256.14, 1,884.28 and 525.78 is: 788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.14 : 1,884.28 = 525.78 : x
  2. Step 2: Convert to fraction form
    1,256.14/1,884.28 = 525.78/x
  3. Step 3: Cross multiply
    1,256.14x = 1,884.28 × 525.78
  4. Step 4: Simplify right side
    1,256.14x = 990,716.74
  5. Step 5: Solve for x
    x = 990,716.74/1,256.14
  6. Step 6: Final answer
    x = 788.70

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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.