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Finding the Fourth Proportional to 1,025.58, 1,538.46 and 505.86

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Solution

The fourth proportional to 1,025.58, 1,538.46 and 505.86 is: 758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.58 : 1,538.46 = 505.86 : x
  2. Step 2: Convert to fraction form
    1,025.58/1,538.46 = 505.86/x
  3. Step 3: Cross multiply
    1,025.58x = 1,538.46 × 505.86
  4. Step 4: Simplify right side
    1,025.58x = 778,245.38
  5. Step 5: Solve for x
    x = 778,245.38/1,025.58
  6. Step 6: Final answer
    x = 758.83

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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.