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Finding the Fourth Proportional to 1,020.07, 1,530.11 and 250.57

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Solution

The fourth proportional to 1,020.07, 1,530.11 and 250.57 is: 375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.07 : 1,530.11 = 250.57 : x
  2. Step 2: Convert to fraction form
    1,020.07/1,530.11 = 250.57/x
  3. Step 3: Cross multiply
    1,020.07x = 1,530.11 × 250.57
  4. Step 4: Simplify right side
    1,020.07x = 383,398.41
  5. Step 5: Solve for x
    x = 383,398.41/1,020.07
  6. Step 6: Final answer
    x = 375.86

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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.