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Finding the Fourth Proportional to 825.93, 1,141.29 and 661.50

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Solution

The fourth proportional to 825.93, 1,141.29 and 661.50 is: 914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.93 : 1,141.29 = 661.50 : x
  2. Step 2: Convert to fraction form
    825.93/1,141.29 = 661.50/x
  3. Step 3: Cross multiply
    825.93x = 1,141.29 × 661.50
  4. Step 4: Simplify right side
    825.93x = 754,963.34
  5. Step 5: Solve for x
    x = 754,963.34/825.93
  6. Step 6: Final answer
    x = 914.08

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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.