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Finding the Fourth Proportional to 934.89, 1,289.71 and 598.64

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Solution

The fourth proportional to 934.89, 1,289.71 and 598.64 is: 825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.89 : 1,289.71 = 598.64 : x
  2. Step 2: Convert to fraction form
    934.89/1,289.71 = 598.64/x
  3. Step 3: Cross multiply
    934.89x = 1,289.71 × 598.64
  4. Step 4: Simplify right side
    934.89x = 772,064.05
  5. Step 5: Solve for x
    x = 772,064.05/934.89
  6. Step 6: Final answer
    x = 825.83

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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.