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Finding the Fourth Proportional to 1,527.96, 2,290.15 and 704.48

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Solution

The fourth proportional to 1,527.96, 2,290.15 and 704.48 is: 1,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.96 : 2,290.15 = 704.48 : x
  2. Step 2: Convert to fraction form
    1,527.96/2,290.15 = 704.48/x
  3. Step 3: Cross multiply
    1,527.96x = 2,290.15 × 704.48
  4. Step 4: Simplify right side
    1,527.96x = 1,613,361.35
  5. Step 5: Solve for x
    x = 1,613,361.35/1,527.96
  6. Step 6: Final answer
    x = 1,055.89

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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.