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Finding the Fourth Proportional to 1,021.53, 1,531.38 and 473.43

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Solution

The fourth proportional to 1,021.53, 1,531.38 and 473.43 is: 709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.53 : 1,531.38 = 473.43 : x
  2. Step 2: Convert to fraction form
    1,021.53/1,531.38 = 473.43/x
  3. Step 3: Cross multiply
    1,021.53x = 1,531.38 × 473.43
  4. Step 4: Simplify right side
    1,021.53x = 725,001.23
  5. Step 5: Solve for x
    x = 725,001.23/1,021.53
  6. Step 6: Final answer
    x = 709.72

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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.