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Finding the Fourth Proportional to 1,157.65, 1,744.81 and 997.27

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Solution

The fourth proportional to 1,157.65, 1,744.81 and 997.27 is: 1,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.65 : 1,744.81 = 997.27 : x
  2. Step 2: Convert to fraction form
    1,157.65/1,744.81 = 997.27/x
  3. Step 3: Cross multiply
    1,157.65x = 1,744.81 × 997.27
  4. Step 4: Simplify right side
    1,157.65x = 1,740,046.67
  5. Step 5: Solve for x
    x = 1,740,046.67/1,157.65
  6. Step 6: Final answer
    x = 1,503.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.