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Finding the Fourth Proportional to 1,025.70, 1,538.55 and 697.65

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Solution

The fourth proportional to 1,025.70, 1,538.55 and 697.65 is: 1,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.70 : 1,538.55 = 697.65 : x
  2. Step 2: Convert to fraction form
    1,025.70/1,538.55 = 697.65/x
  3. Step 3: Cross multiply
    1,025.70x = 1,538.55 × 697.65
  4. Step 4: Simplify right side
    1,025.70x = 1,073,369.41
  5. Step 5: Solve for x
    x = 1,073,369.41/1,025.70
  6. Step 6: Final answer
    x = 1,046.48

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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.