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Finding the Fourth Proportional to 840.09, 1,156.97 and 821.93

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Solution

The fourth proportional to 840.09, 1,156.97 and 821.93 is: 1,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.09 : 1,156.97 = 821.93 : x
  2. Step 2: Convert to fraction form
    840.09/1,156.97 = 821.93/x
  3. Step 3: Cross multiply
    840.09x = 1,156.97 × 821.93
  4. Step 4: Simplify right side
    840.09x = 950,938.46
  5. Step 5: Solve for x
    x = 950,938.46/840.09
  6. Step 6: Final answer
    x = 1,131.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.