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Finding the Fourth Proportional to 934.41, 1,289.64 and 712.94

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Solution

The fourth proportional to 934.41, 1,289.64 and 712.94 is: 983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.41 : 1,289.64 = 712.94 : x
  2. Step 2: Convert to fraction form
    934.41/1,289.64 = 712.94/x
  3. Step 3: Cross multiply
    934.41x = 1,289.64 × 712.94
  4. Step 4: Simplify right side
    934.41x = 919,432.38
  5. Step 5: Solve for x
    x = 919,432.38/934.41
  6. Step 6: Final answer
    x = 983.97

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1.5x scale

Why These Related Problems?

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