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Finding the Fourth Proportional to 929.82, 1,284.02 and 598.82

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Solution

The fourth proportional to 929.82, 1,284.02 and 598.82 is: 826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.82 : 1,284.02 = 598.82 : x
  2. Step 2: Convert to fraction form
    929.82/1,284.02 = 598.82/x
  3. Step 3: Cross multiply
    929.82x = 1,284.02 × 598.82
  4. Step 4: Simplify right side
    929.82x = 768,893.30
  5. Step 5: Solve for x
    x = 768,893.30/929.82
  6. Step 6: Final answer
    x = 826.93

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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.