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Finding the Fourth Proportional to 1,527.15, 2,290.73 and 552.86

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Solution

The fourth proportional to 1,527.15, 2,290.73 and 552.86 is: 829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.15 : 2,290.73 = 552.86 : x
  2. Step 2: Convert to fraction form
    1,527.15/2,290.73 = 552.86/x
  3. Step 3: Cross multiply
    1,527.15x = 2,290.73 × 552.86
  4. Step 4: Simplify right side
    1,527.15x = 1,266,452.99
  5. Step 5: Solve for x
    x = 1,266,452.99/1,527.15
  6. Step 6: Final answer
    x = 829.29

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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.