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Finding the Fourth Proportional to 934.59, 1,289.03 and 893.23

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Solution

The fourth proportional to 934.59, 1,289.03 and 893.23 is: 1,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.59 : 1,289.03 = 893.23 : x
  2. Step 2: Convert to fraction form
    934.59/1,289.03 = 893.23/x
  3. Step 3: Cross multiply
    934.59x = 1,289.03 × 893.23
  4. Step 4: Simplify right side
    934.59x = 1,151,400.27
  5. Step 5: Solve for x
    x = 1,151,400.27/934.59
  6. Step 6: Final answer
    x = 1,231.98

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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.