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Finding the Fourth Proportional to 1,046.72, 1,570.34 and 739.17

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Solution

The fourth proportional to 1,046.72, 1,570.34 and 739.17 is: 1,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.72 : 1,570.34 = 739.17 : x
  2. Step 2: Convert to fraction form
    1,046.72/1,570.34 = 739.17/x
  3. Step 3: Cross multiply
    1,046.72x = 1,570.34 × 739.17
  4. Step 4: Simplify right side
    1,046.72x = 1,160,744.52
  5. Step 5: Solve for x
    x = 1,160,744.52/1,046.72
  6. Step 6: Final answer
    x = 1,108.94

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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.