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Finding the Fourth Proportional to 1,022.26, 1,534 and 373.04

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Solution

The fourth proportional to 1,022.26, 1,534 and 373.04 is: 559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.26 : 1,534 = 373.04 : x
  2. Step 2: Convert to fraction form
    1,022.26/1,534 = 373.04/x
  3. Step 3: Cross multiply
    1,022.26x = 1,534 × 373.04
  4. Step 4: Simplify right side
    1,022.26x = 572,243.36
  5. Step 5: Solve for x
    x = 572,243.36/1,022.26
  6. Step 6: Final answer
    x = 559.78

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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.