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Finding the Fourth Proportional to 873.80, 1,204.42 and 696.47

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Solution

The fourth proportional to 873.80, 1,204.42 and 696.47 is: 960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.80 : 1,204.42 = 696.47 : x
  2. Step 2: Convert to fraction form
    873.80/1,204.42 = 696.47/x
  3. Step 3: Cross multiply
    873.80x = 1,204.42 × 696.47
  4. Step 4: Simplify right side
    873.80x = 838,838.92
  5. Step 5: Solve for x
    x = 838,838.92/873.80
  6. Step 6: Final answer
    x = 960.00

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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.