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Finding the Fourth Proportional to 1,527.55, 2,292.51 and 705.91

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Solution

The fourth proportional to 1,527.55, 2,292.51 and 705.91 is: 1,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.55 : 2,292.51 = 705.91 : x
  2. Step 2: Convert to fraction form
    1,527.55/2,292.51 = 705.91/x
  3. Step 3: Cross multiply
    1,527.55x = 2,292.51 × 705.91
  4. Step 4: Simplify right side
    1,527.55x = 1,618,305.73
  5. Step 5: Solve for x
    x = 1,618,305.73/1,527.55
  6. Step 6: Final answer
    x = 1,059.41

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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.