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Finding the Fourth Proportional to 1,021.70, 1,531.86 and 405.24

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Solution

The fourth proportional to 1,021.70, 1,531.86 and 405.24 is: 607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.70 : 1,531.86 = 405.24 : x
  2. Step 2: Convert to fraction form
    1,021.70/1,531.86 = 405.24/x
  3. Step 3: Cross multiply
    1,021.70x = 1,531.86 × 405.24
  4. Step 4: Simplify right side
    1,021.70x = 620,770.95
  5. Step 5: Solve for x
    x = 620,770.95/1,021.70
  6. Step 6: Final answer
    x = 607.59

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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.