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Finding the Fourth Proportional to 1,022.72, 1,534.44 and 373.52

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Solution

The fourth proportional to 1,022.72, 1,534.44 and 373.52 is: 560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.72 : 1,534.44 = 373.52 : x
  2. Step 2: Convert to fraction form
    1,022.72/1,534.44 = 373.52/x
  3. Step 3: Cross multiply
    1,022.72x = 1,534.44 × 373.52
  4. Step 4: Simplify right side
    1,022.72x = 573,144.03
  5. Step 5: Solve for x
    x = 573,144.03/1,022.72
  6. Step 6: Final answer
    x = 560.41

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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.