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Finding the Fourth Proportional to 846.54, 1,263.42 and 824.67

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Solution

The fourth proportional to 846.54, 1,263.42 and 824.67 is: 1,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.54 : 1,263.42 = 824.67 : x
  2. Step 2: Convert to fraction form
    846.54/1,263.42 = 824.67/x
  3. Step 3: Cross multiply
    846.54x = 1,263.42 × 824.67
  4. Step 4: Simplify right side
    846.54x = 1,041,904.57
  5. Step 5: Solve for x
    x = 1,041,904.57/846.54
  6. Step 6: Final answer
    x = 1,230.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.