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Finding the Fourth Proportional to 1,527.34, 2,289.41 and 706.15

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Solution

The fourth proportional to 1,527.34, 2,289.41 and 706.15 is: 1,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.34 : 2,289.41 = 706.15 : x
  2. Step 2: Convert to fraction form
    1,527.34/2,289.41 = 706.15/x
  3. Step 3: Cross multiply
    1,527.34x = 2,289.41 × 706.15
  4. Step 4: Simplify right side
    1,527.34x = 1,616,659.38
  5. Step 5: Solve for x
    x = 1,616,659.38/1,527.34
  6. Step 6: Final answer
    x = 1,058.48

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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.