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Finding the Fourth Proportional to 869.40, 1,197.18 and 821.34

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Solution

The fourth proportional to 869.40, 1,197.18 and 821.34 is: 1,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.40 : 1,197.18 = 821.34 : x
  2. Step 2: Convert to fraction form
    869.40/1,197.18 = 821.34/x
  3. Step 3: Cross multiply
    869.40x = 1,197.18 × 821.34
  4. Step 4: Simplify right side
    869.40x = 983,291.82
  5. Step 5: Solve for x
    x = 983,291.82/869.40
  6. Step 6: Final answer
    x = 1,131.00

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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.