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Finding the Fourth Proportional to 1,028.55, 1,542.80 and 370.42

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Solution

The fourth proportional to 1,028.55, 1,542.80 and 370.42 is: 555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.55 : 1,542.80 = 370.42 : x
  2. Step 2: Convert to fraction form
    1,028.55/1,542.80 = 370.42/x
  3. Step 3: Cross multiply
    1,028.55x = 1,542.80 × 370.42
  4. Step 4: Simplify right side
    1,028.55x = 571,487.64
  5. Step 5: Solve for x
    x = 571,487.64/1,028.55
  6. Step 6: Final answer
    x = 555.63

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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.