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Finding the Fourth Proportional to 1,162.98, 1,744.91 and 701.07

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Solution

The fourth proportional to 1,162.98, 1,744.91 and 701.07 is: 1,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.98 : 1,744.91 = 701.07 : x
  2. Step 2: Convert to fraction form
    1,162.98/1,744.91 = 701.07/x
  3. Step 3: Cross multiply
    1,162.98x = 1,744.91 × 701.07
  4. Step 4: Simplify right side
    1,162.98x = 1,223,300.55
  5. Step 5: Solve for x
    x = 1,223,300.55/1,162.98
  6. Step 6: Final answer
    x = 1,051.87

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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.