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Finding the Fourth Proportional to 971.94, 1,340.93 and 617.78

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Solution

The fourth proportional to 971.94, 1,340.93 and 617.78 is: 852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.94 : 1,340.93 = 617.78 : x
  2. Step 2: Convert to fraction form
    971.94/1,340.93 = 617.78/x
  3. Step 3: Cross multiply
    971.94x = 1,340.93 × 617.78
  4. Step 4: Simplify right side
    971.94x = 828,389.94
  5. Step 5: Solve for x
    x = 828,389.94/971.94
  6. Step 6: Final answer
    x = 852.31

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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.