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Finding the Fourth Proportional to 934.34, 1,403.91 and 704.70

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Solution

The fourth proportional to 934.34, 1,403.91 and 704.70 is: 1,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.34 : 1,403.91 = 704.70 : x
  2. Step 2: Convert to fraction form
    934.34/1,403.91 = 704.70/x
  3. Step 3: Cross multiply
    934.34x = 1,403.91 × 704.70
  4. Step 4: Simplify right side
    934.34x = 989,335.38
  5. Step 5: Solve for x
    x = 989,335.38/934.34
  6. Step 6: Final answer
    x = 1,058.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.