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Finding the Fourth Proportional to 1,572.67, 2,359.41 and 706.78

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Solution

The fourth proportional to 1,572.67, 2,359.41 and 706.78 is: 1,060.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.67 : 2,359.41 = 706.78 : x
  2. Step 2: Convert to fraction form
    1,572.67/2,359.41 = 706.78/x
  3. Step 3: Cross multiply
    1,572.67x = 2,359.41 × 706.78
  4. Step 4: Simplify right side
    1,572.67x = 1,667,583.80
  5. Step 5: Solve for x
    x = 1,667,583.80/1,572.67
  6. Step 6: Final answer
    x = 1,060.35

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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.