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Finding the Fourth Proportional to 985.52, 1,359.24 and 838.64

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Solution

The fourth proportional to 985.52, 1,359.24 and 838.64 is: 1,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.52 : 1,359.24 = 838.64 : x
  2. Step 2: Convert to fraction form
    985.52/1,359.24 = 838.64/x
  3. Step 3: Cross multiply
    985.52x = 1,359.24 × 838.64
  4. Step 4: Simplify right side
    985.52x = 1,139,913.03
  5. Step 5: Solve for x
    x = 1,139,913.03/985.52
  6. Step 6: Final answer
    x = 1,156.66

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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.