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Finding the Fourth Proportional to 874.94, 1,206.29 and 716.99

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Solution

The fourth proportional to 874.94, 1,206.29 and 716.99 is: 988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.94 : 1,206.29 = 716.99 : x
  2. Step 2: Convert to fraction form
    874.94/1,206.29 = 716.99/x
  3. Step 3: Cross multiply
    874.94x = 1,206.29 × 716.99
  4. Step 4: Simplify right side
    874.94x = 864,897.87
  5. Step 5: Solve for x
    x = 864,897.87/874.94
  6. Step 6: Final answer
    x = 988.52

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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.