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Finding the Fourth Proportional to 1,527.52, 2,290.24 and 705.34

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Solution

The fourth proportional to 1,527.52, 2,290.24 and 705.34 is: 1,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.52 : 2,290.24 = 705.34 : x
  2. Step 2: Convert to fraction form
    1,527.52/2,290.24 = 705.34/x
  3. Step 3: Cross multiply
    1,527.52x = 2,290.24 × 705.34
  4. Step 4: Simplify right side
    1,527.52x = 1,615,397.88
  5. Step 5: Solve for x
    x = 1,615,397.88/1,527.52
  6. Step 6: Final answer
    x = 1,057.53

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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.