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Finding the Fourth Proportional to 1,029.56, 1,543.62 and 380.22

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Solution

The fourth proportional to 1,029.56, 1,543.62 and 380.22 is: 570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.56 : 1,543.62 = 380.22 : x
  2. Step 2: Convert to fraction form
    1,029.56/1,543.62 = 380.22/x
  3. Step 3: Cross multiply
    1,029.56x = 1,543.62 × 380.22
  4. Step 4: Simplify right side
    1,029.56x = 586,915.20
  5. Step 5: Solve for x
    x = 586,915.20/1,029.56
  6. Step 6: Final answer
    x = 570.06

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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.