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Finding the Fourth Proportional to 970.97, 1,340.81 and 617.51

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Solution

The fourth proportional to 970.97, 1,340.81 and 617.51 is: 852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.97 : 1,340.81 = 617.51 : x
  2. Step 2: Convert to fraction form
    970.97/1,340.81 = 617.51/x
  3. Step 3: Cross multiply
    970.97x = 1,340.81 × 617.51
  4. Step 4: Simplify right side
    970.97x = 827,953.79
  5. Step 5: Solve for x
    x = 827,953.79/970.97
  6. Step 6: Final answer
    x = 852.71

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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.