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Finding the Fourth Proportional to 972.45, 1,341.27 and 613.67

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Solution

The fourth proportional to 972.45, 1,341.27 and 613.67 is: 846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.45 : 1,341.27 = 613.67 : x
  2. Step 2: Convert to fraction form
    972.45/1,341.27 = 613.67/x
  3. Step 3: Cross multiply
    972.45x = 1,341.27 × 613.67
  4. Step 4: Simplify right side
    972.45x = 823,090.45
  5. Step 5: Solve for x
    x = 823,090.45/972.45
  6. Step 6: Final answer
    x = 846.41

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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.