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Finding the Fourth Proportional to 1,524.04, 2,285.68 and 743.63

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Solution

The fourth proportional to 1,524.04, 2,285.68 and 743.63 is: 1,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.04 : 2,285.68 = 743.63 : x
  2. Step 2: Convert to fraction form
    1,524.04/2,285.68 = 743.63/x
  3. Step 3: Cross multiply
    1,524.04x = 2,285.68 × 743.63
  4. Step 4: Simplify right side
    1,524.04x = 1,699,700.22
  5. Step 5: Solve for x
    x = 1,699,700.22/1,524.04
  6. Step 6: Final answer
    x = 1,115.26

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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.