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Finding the Fourth Proportional to 1,183.34, 1,632.14 and 868.50

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Solution

The fourth proportional to 1,183.34, 1,632.14 and 868.50 is: 1,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.34 : 1,632.14 = 868.50 : x
  2. Step 2: Convert to fraction form
    1,183.34/1,632.14 = 868.50/x
  3. Step 3: Cross multiply
    1,183.34x = 1,632.14 × 868.50
  4. Step 4: Simplify right side
    1,183.34x = 1,417,512.50
  5. Step 5: Solve for x
    x = 1,417,512.50/1,183.34
  6. Step 6: Final answer
    x = 1,197.89

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1.5x scale

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.