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Finding the Fourth Proportional to 1,256.38, 1,884.66 and 526

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Solution

The fourth proportional to 1,256.38, 1,884.66 and 526 is: 789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.38 : 1,884.66 = 526 : x
  2. Step 2: Convert to fraction form
    1,256.38/1,884.66 = 526/x
  3. Step 3: Cross multiply
    1,256.38x = 1,884.66 × 526
  4. Step 4: Simplify right side
    1,256.38x = 991,331.16
  5. Step 5: Solve for x
    x = 991,331.16/1,256.38
  6. Step 6: Final answer
    x = 789.04

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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.