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Finding the Fourth Proportional to 1,256.28, 1,884.54 and 526.08

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Solution

The fourth proportional to 1,256.28, 1,884.54 and 526.08 is: 789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.28 : 1,884.54 = 526.08 : x
  2. Step 2: Convert to fraction form
    1,256.28/1,884.54 = 526.08/x
  3. Step 3: Cross multiply
    1,256.28x = 1,884.54 × 526.08
  4. Step 4: Simplify right side
    1,256.28x = 991,418.80
  5. Step 5: Solve for x
    x = 991,418.80/1,256.28
  6. Step 6: Final answer
    x = 789.17

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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.