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Finding the Fourth Proportional to 1,157.34, 1,596.92 and 685

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Solution

The fourth proportional to 1,157.34, 1,596.92 and 685 is: 945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.34 : 1,596.92 = 685 : x
  2. Step 2: Convert to fraction form
    1,157.34/1,596.92 = 685/x
  3. Step 3: Cross multiply
    1,157.34x = 1,596.92 × 685
  4. Step 4: Simplify right side
    1,157.34x = 1,093,890.20
  5. Step 5: Solve for x
    x = 1,093,890.20/1,157.34
  6. Step 6: Final answer
    x = 945.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.