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Finding the Fourth Proportional to 1,020.06, 1,530.10 and 250.56

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Solution

The fourth proportional to 1,020.06, 1,530.10 and 250.56 is: 375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.06 : 1,530.10 = 250.56 : x
  2. Step 2: Convert to fraction form
    1,020.06/1,530.10 = 250.56/x
  3. Step 3: Cross multiply
    1,020.06x = 1,530.10 × 250.56
  4. Step 4: Simplify right side
    1,020.06x = 383,381.86
  5. Step 5: Solve for x
    x = 383,381.86/1,020.06
  6. Step 6: Final answer
    x = 375.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.