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Finding the Fourth Proportional to 1,021.35, 1,531.72 and 404.94

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Solution

The fourth proportional to 1,021.35, 1,531.72 and 404.94 is: 607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.35 : 1,531.72 = 404.94 : x
  2. Step 2: Convert to fraction form
    1,021.35/1,531.72 = 404.94/x
  3. Step 3: Cross multiply
    1,021.35x = 1,531.72 × 404.94
  4. Step 4: Simplify right side
    1,021.35x = 620,254.70
  5. Step 5: Solve for x
    x = 620,254.70/1,021.35
  6. Step 6: Final answer
    x = 607.29

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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.