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Finding the Fourth Proportional to 863.57, 1,193.47 and 653.67

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Solution

The fourth proportional to 863.57, 1,193.47 and 653.67 is: 903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.57 : 1,193.47 = 653.67 : x
  2. Step 2: Convert to fraction form
    863.57/1,193.47 = 653.67/x
  3. Step 3: Cross multiply
    863.57x = 1,193.47 × 653.67
  4. Step 4: Simplify right side
    863.57x = 780,133.90
  5. Step 5: Solve for x
    x = 780,133.90/863.57
  6. Step 6: Final answer
    x = 903.38

Related Problems

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Half scale
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Double scale
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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.