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Finding the Fourth Proportional to 1,020.12, 1,529.12 and 580.43

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Solution

The fourth proportional to 1,020.12, 1,529.12 and 580.43 is: 870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.12 : 1,529.12 = 580.43 : x
  2. Step 2: Convert to fraction form
    1,020.12/1,529.12 = 580.43/x
  3. Step 3: Cross multiply
    1,020.12x = 1,529.12 × 580.43
  4. Step 4: Simplify right side
    1,020.12x = 887,539.48
  5. Step 5: Solve for x
    x = 887,539.48/1,020.12
  6. Step 6: Final answer
    x = 870.03

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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.